ALMA and MUSE observations reveal a quiescent multi-phase circumgalactic medium around the z~3.6 radio galaxy 4C 19.71

We present MUSE/VLT imaging spectroscopy of rest-frame ultraviolet emission lines and ALMA observations of the [CI] $^3$P$_1$-$^3$P$_0$ emission line, probing both the ionized and diffuse molecular medium around the radio galaxy 4C 19.71 at z~3.6. This radio galaxy has extended Ly$\alpha$ emission over a region ~100 kpc in size preferentially oriented along the axis of the radio jet. Faint Ly$\alpha$ emission extends beyond the radio hot spots. We also find extended CIV and HeII emission over a region of ~150 kpc in size, where the most distant emission lies ~40 kpc beyond the north radio lobe and has narrow FWHM line widths of ~180 km/s and a small relative velocity offset $\Delta$v~130 km/s from the systemic redshift of the radio galaxy. The [CI] is detected in the same region with FWHM~100 km/s and $\Delta$v~5 km/s, while [CI] is not detected in the regions south of the radio galaxy. We interpret the coincidence in the northern line emission as evidence of relatively quiescent multi-phase gas residing within the halo at a projected distance of ~75 kpc from the host galaxy. To test this hypothesis, we performed photoionization and photo-dissociated region (PDR) modeling, using the code Cloudy, of the three emission line regions: the radio galaxy proper and the northern and southern regions. We find that the [CI]/CIV$\lambda\lambda$1548,1551 and CIV$\lambda\lambda$1548,1551/HeII ratios of the two halo regions are consistent with a PDR or ionization front in the circumgalactic medium likely energized by photons from the active galactic nuclei. This modeling is consistent with a relatively low metallicity, 0.03<[Z/Z$_{\odot}$]<0.1, and diffuse ionization with an ionization parameter (proportional to the ratio of the photon number density and gas density) of log U~3 for the two circumgalactic line emission regions. Using rough mass estimates for the molecular [...]


Introduction
The circumgalactic medium (CGM) is believed to control the gas supply of galaxies. It is the component of galaxies where recycled gas ejected from the galaxy by stars or active galactic nuclei (AGNs) likely mixes with accreted gas, whether from cosmological cold streams or gas accreted at the virial radius from the intergalactic medium. The CGM is very diffuse, has low surface brightness emission lines, and is thus challenging to observe in anything other than absorption lines. Over the last three decades, many studies of the CGM have focused on AGNs, observing their CGM in Lyα and other ultraviolet (UV) emission lines using narrow-band imaging or long-slit spectroscopy (e.g., Heckman et al. 1991a,b;Reuland et al. 2003Reuland et al. , 2007, and sometimes Hα, e.g., Shopbell et al. 1999). Integral field spectrographs with relatively large fields of view, such as the multi-unit spectroscopic explorer (MUSE), PCWI, and KCWI, have recently made significant advances in our understanding of the spatial extent, ionization state, and dynamics of the CGM in emission lines from ionized gas. Extended Lyα halos have recently been observed with MUSE around a large fraction of star-forming Based on observations obtained at the European Organization for Astronomical Research in the Southern Hemisphere under program 097.B-0323(B). galaxies at redshifts 3≤z≤6 in the Hubble Deep Field South and other regions (Wisotzki et al. 2016;Leclercq et al. 2017Leclercq et al. , 2020Bielby et al. 2020). Extended Lyα halos have also shown kinematic signs, suggesting large-scale rotation of accreting material (Prescott et al. 2015) and a filamentary structure (Cantalupo et al. 2014;Vernet et al. 2017;Martin et al. 2019;Umehata et al. 2019). Arrigoni Battaia et al. (2018) observed an enormous Lyα nebula around a radio-quiet quasar at z=3.164 with MUSE, spanning ∼300 kpc and showing accretion of substructures onto the host quasar. With MUSE it is now possible to characterize the physical properties of the CGM around galaxies. Observations have shown spectacular extended ionized regions around quasistellar objects (QSOs), quasars, radio galaxies, and star-forming galaxies.
The CGM around high-redshift radio galaxies (HzRGs) can also contain large extended reservoirs of molecular gas (i.e.,∼70-100 kpc), which have been detected in [C i] 3 P 1 -3 P 0 , CO(1-0), CO(4-3), and H 2 O (Emonts et al. 2016;Gullberg et al. 2016b;Emonts et al. 2018), and sometimes in isolated regions of molecular emission (Emonts et al. 2014;Gullberg et al. 2016a). These isolated regions of emission contain dynamically quiescent gas with a relatively low velocity offset and could potentially be explained as being part of an accretion flow. Gullberg et al. (2016a) also note that the nuclear molecular gas in the radio galaxy Article number, page 1 of 16 arXiv:2007.10061v1 [astro-ph.GA] 20 Jul 2020 A&A proofs: manuscript no. 35237 MRC 0943-242 is very narrow and dynamically quiescent compared to the typical broad optical and UV emission line gas seen close to the AGNs. In the case of one radio galaxy in particular, MRC 1138-262, the amount of extended molecular gas estimated from these observations shows that it is sufficient to fuel the in situ star formation taking place in the CGM. In fact, the properties of the star formation and molecular gas in the CGM of the radio galaxy MRC 1138-242 are such that the CGM falls along the relationship between the star-formation rate (SFR) and molecular gas mass surface densities (the "Schmidt-Kennicutt relation"; Emonts et al. 2016). Molecular gas on even larger scales (∼250 kpc) has been interpreted as the denser regions of accretion streams feeding the central massive galaxies. Ongoing star formation in the streams may enrich the gas even before it is accreted, thus explaining the observations (Ginolfi et al. 2017). In addition, circumgalactic molecular gas around some AGNs has been interpreted as being due to outflows (e.g., Cicone et al. 2015). These observations support the view that the CGM is in part metal-rich and dense, providing a link between cold halo gas, any potential in situ star formation, and supplying gas to the host galaxy (see e.g., Emonts et al. 2016;Vernet et al. 2017;Arrigoni Battaia et al. 2018;Martin et al. 2019).
The low-J CO emission lines have proven to be good tracers of diffuse, low-density molecular gas. Several studies suggest that [C i] can be an equally good tracer, complementing the other tracers of the total molecular content of gas Glover et al. 2015). The [C i] lines have similar critical densities to those of the lower rotational transitions of CO and likely trace the same diffuse gas. But unlike the optically thick low order transitions of CO, [C i] is optically thin and therefore probes higher column densities than CO . Moreover, its low critical density implies that [C i] does not probe the densest gas, which may ultimately limit its utility as a tracer of high column densities of H 2 . Recent studies have also investigated if CO in star-forming galaxies might effectively be destroyed by cosmic rays while leaving H 2 intact (Bisbas et al. 2015(Bisbas et al. , 2017. The results of these studies suggest that [C i] might be a more reliable H 2 tracer in environments of intensely star-forming galaxies, AGNs, and near regions of synchrotron emission such a radio jets and lobes, where the cosmic ray intensity may be high relative to the Milky Way and other nearby normal galaxies (Papadopoulos et al. 2018).
Galaxy 4C 19.71 is a massive, double-lobed, steep-spectrum, FR-II type HzRG with X-ray emission seen at both the core and hot spots over an extent of ∼60 kpc (Smail et al. 2012). The galaxy has extended [O iii]λ5007 line emission spanning from the host out to both the lobes (Armus et al. 1998). The large emission size of 66 kpc×16 kpc is unusual compared to radio galaxies at z ∼2 (Nesvadba et al. 2017). The galaxy has bright extended Lyα, C iv, and He ii halos of the size of ∼120 kpc, observed with long-slit spectroscopy (Maxfield et al. 2002). Galaxy 4C 19.71 is a unique galaxy; it is bright across a wide wavelength range and the face-on orientation together with a luminous AGN provide a test-bed with which to study the cold molecular and warm ionized gas within the galaxy, the interaction of the radio jets with the ambient medium as they expand outward, and the properties of halo gas.

ALMA observations
The Atacama Large Millimeter/submillimeter Array (ALMA) cycle 3 observations in band 3 were carried out on UT 2016 March 6, with 38 min on-source integration and 38 operating antennas. The four 3.875 GHz wide bands were tuned to include the [C i] 3 P 1 -3 P 0 ([C i](1-0) hereafter) and 13 CO J = 4 → 3 lines, covering 94.6-98.4 GHz and 106.5-110.3 GHz, respectively. We calibrated the data with the Common Astronomy Software Applications (CASA) using the observatory-supplied calibration script. The data cube and moment-0 maps were also produced using CASA. A natural weighting (robust parameter of 2) was applied since the data has low signal-tonoise. This results in a continuum image with synthesized beam 1.8"×1.9" and a root mean square (RMS) of 14 µJy. To produce the cube and look for [C i](1-0) (ν rest =492.16 GHz) and 13 CO(4-3) (ν rest =440.77 GHz) emission lines, we binned the data to 50 km s −1 , which resulted in an RMS noise of 0.3 mJy. To create the moment-0 maps, we first subtracted the continuum in the uv-plane by fitting a first-order polynomial over all the spectral window (but excluding the channels where the [C i](1-0) and 13 CO(4-3) emission were expected to lie). We then collapsed the cube over the frequency range 107.21-107.27 GHz and 96.007-96.067 GHz for the [C i](1-0) and 13 CO(4-3) moment-0 maps, respectively, resulting in line-only continuum-free images.

MUSE observations
The MUSE observations with the Very Large Telescope (VLT), Unit Telescopes 4 (program ID 097.B-0323(B)) were carried out over four nights between 2016 June 7 and 2016 September 2, with a total of five hours on source integration time during which the average seeing was ∼1.2". The data were taken in five sets of two 30 min exposures rotated 90 degrees with respect to one another, resulting in a total of ten exposures. We reduced the data using the MUSE instrument pipeline version 1.6.2. First, we preprocessed the data with the standard settings to produce a calibrated and sky-subtracted combined data cube. But due to strong sky lines that were not optimally subtracted and thus created artifacts in the cube (especially the [O i]λ5577 night sky line which lies coincident with the redshifted wavelength of Lyα emission from 4C 19.71), we decided to reprocess the cube. To overcome the problems with the previous reduction, we reduced each exposure individually without sky subtraction and put them on the same spatial and spectral coordinate grid by providing the first exposure (astrometry corrected) as the OUTPUT_WCS argument for the other nine exposures. Then, we sky-subtracted each exposure by using ZAP 2.0 (the Zurich Atmosphere Purge; Soto et al. 2016). We ran ZAP with the default parameters and since it was run on individual exposures, the contribution from the faint sources of emission in the data had a negligible impact on the sky subtraction. Finally, we merged all ten individual 30 min exposures into one combined cube using the python package MPDAF 2.5 (MUSE python data analysis framework) developed by the MUSE Consortium 1 .
Moment-0 maps were created by subtracting the continuum emission by, in turn, fitting a first-order polynomial to the red and blue side of each emission line and then collapsing the cube over λ obs =5581.64-5584.14 Å, λ obs =7100.39-7102.89 Å, λ obs =7525.39-7535.39 Å, and λ obs =8739.14-8756.64 Å for Lyα, C iv, He ii, and C iii], respectively.

Previous supporting observations
Galaxy 4C 19.71 has an extensive set of observations, spanning from X-ray to radio frequencies (Fig. 1). The galaxy has been observed at radio wavelengths with the Very Large Array (VLA) bands C, X, and L (Pentericci et al. 2000;Reuland et al. 2003). Bands C and X show a clear and quite symmetric double lobe structure, but the core is not detected in any of the VLA bands. Chandra observations of 4C 19.71 show that it has weak X-ray emission over ∼ 60 kpc scales extending from the host galaxy and in the direction of the radio jet; the observations also show emission directly from the radio lobes (Smail et al. 2012). Galaxy 4C 19.71 was observed through a K-band and narrowband filter centered on the [O iii] 5007 Å emission, which shows extended [O iii] emission over a region of 74×9 kpc extended along the axis of the radio jets (Armus et al. 1998). Galaxy 4C 19.71 was also part of a large Spitzer and Herschel survey of 70 HzRGs 1 < z < 5.2 (Seymour et al. 2007;De Breuck et al. 2010;Drouart et al. 2014) observed with the Infrared Array Camera (IRAC), the Infrared Spectrograph (IRS), and the Multiband Imaging Photometer (MIPS) on Spitzer, as well as the Photodetector Array Camera and Spectrometer (PACS) and the Spectral and Photometric Image Receiver (SPIRE) on Herschel. The IRAC 3.6 µm, 4.5 µm, and MIPS 24 µm show continuum emission at the location of the host galaxy. Through spectral energy distribution (SED), fitting the stellar mass has been estimated to be log (M / M )=11.13 (De Breuck et al. 2010) and an SFR of 84 M yr −1 (Drouart et al. 2014;Falkendal et al. 2019). The K-band image shown in Fig. 1 is publicly available 2 but unfortunately did not have an astrometric solution. We used AIPS (Astronomical Image Processing System) and the task XTRAN to determine the coordinate transformation between image pixels and the RA and Dec of reference stars. We used Gaia DR2 (Gaia Collaboration et al. 2018) to retrieve the coordinates of the five brightest stars in the field, and, via XTRAN, we obtained the astrometric solution for the K-band image.

Results
Combining ALMA submillimeter (submm) observations with MUSE optical observations reveals extended line emission at larger scales around 4C 19.71 than previously observed. Figure 1 shows X-ray 0.5-8 keV continuum, K-band, IRAC 3.6 µm, MIPS 24 µm, ALMA 100 GHz continuum, and VLA 4.8 GHz images of 4C 19.71. The AGN and its host galaxy are detected in all of these wavelength bands except with the VLA, where only the two synchrotron lobes extending toward the north and south were detected. The Lyα image constructed from the MUSE data cube shows bright emission at the position of the host galaxy extending out toward both the northern and southern radio hot spots (Fig. 2). Weak Lyα emission is also detected south of the southern lobe (region C, Fig. 3). Similar morphological structure is also seen in C iv, He ii, and C iii] (Fig. 2). The general structure and extent of the ionized gas is in agreement with previous long-slit spectroscopy observations (Maxfield et al. 2002).
[C i](1-0) line emission is detected at the position of the host galaxy (region B, Fig. 3) and 9 arcsec (∼75 kpc in projection) north of the source (region A, Fig. 3). This extended [C i](1-0) emission coincides with weak C iv detected with MUSE (Fig. 2). Region A is not detected in the submm continuum emission with a 3σ-upper limit of 0.4 µJy. Weak C iv is also detected south of the source (region B), showing velocity dispersion and velocity offset similar to the emission from region A. Figure 3 shows the three different regions from which the emission line spectra are extracted: A, north of the northern radio lobe; B, the host galaxy and AGN; and C, south of the southern radio lobe. In the following sections, we will discuss each of these regions in detail.

Molecular and atomic emission lines
We searched for [C i](1-0) and 13 CO(4-3) lines in the ALMA cube by binning to different velocity widths and stepping through the velocity channels to search for emission (a "blind search"). Due to the low signal-to-noise, we did not bin the cube for resolutions coarser than 50 km s −1 . We found two [C i](1-0) detections, one over region A and one in region B. The detection in the latter coincides with the peak position of the Kband (IRAC 3.6 µm and 4.5 µm), IRS 16 µm, and the ALMA thermal dust emission of the host galaxy and AGN (Fig. 1). From the moment-0 map of the [C i](1-0) emission (summed over ν obs =107.21-107.27 GHz of the uv continuum subtracted cube; Fig. 2), we defined the boundaries of the two [C i](1-0) regions (Fig. 3). We extracted the spectra of region B from the uv continuum subtracted ALMA cube and spectra of regions A and C from the non-uv continuum subtracted ALMA cube. We extracted the data from region C, even though it is clearly not detected in [C i](1-0), simply to provide an estimate of the level of noise in these data. The 13 CO(4-3) line is not detected with ALMA. A moment-0 map of the 13 CO(4-3) was constructed with the same width as the [C i](1-0) moment-0 map (ν obs =96.007-96.067 GHz) and centered at ν obs =96.037 GHz, assuming the systemic redshift. The map reveals no detections and again indicates the noise level in these data.
We fit both [C i](1-0) lines with a Gaussian profile to estimate the integrated line flux, line width, and velocity relative to systemic. We used the non-linear least square method to fit a Gaussian function to the spectrum using the RMS=0.3 mJy as one sigma uncertainty in the flux. The reported errors are the square root of the variance, one sigma, of the parameter estimate for the Gaussian fits. We used the [C i](1-0) line at the core, region B, to determine the systemic redshift, z sys =3.5895, of the host galaxy. The fitting results in an FWHM of 87±23 km s −1 and an integrated flux of (0.40±0.15)× 10 −18 erg cm −2 s −1 . The extended detection in region A is only shifted ∼5 km s −1 from the [C i](1-0) at the core; it has an FWHM of 108±54 km s −1 and an integrated flux of (0.19±0.12)× 10 −18 erg cm −2 s −1 . Figure 4 shows the spectra of the two detected [C i](1-0) lines with the best fitting model, as well as a noise spectrum extracted from region C. Figure 4 also shows the noise spectrum of the 13 CO(4-3) line at the location of the host galaxy (region B). Table 2 lists the fitted parameters.

Ionized gas
The MUSE spectrum shows an extended structure of ionized gas around 4C 19.71. Qualitatively, the spectrum is consistent with the previous long-slit spectroscopy observations (Maxfield et al. 2002) but now with full spatial information over the  (Pentericci et al. 2000). The pink plus signs indicate the center of the host galaxy determined from the peak of the thermal dust emission in the ALMA band 3 continuum image. Green crosses indicate the positions of the hot spots of the two radio lobes. The filled blue circles show the location of four foreground galaxies around 4C 19.71. For details about coordinates and redshifts of the sources in the field, see Table A.1. large 1×1 arcmin field-of-view of MUSE. What is observed with MUSE and not seen in previous studies are narrow emission lines of very faint extended gas -extending far beyond the radio lobes (Fig. 2) -and the detection of regions A and C in C iv (Fig. 3). Over the area centered on the host galaxy, region B, strong Lyα, C iv, and He ii emission is detected and the extracted spectra indicate that at least one strong Lyα and C iv absorber is present. Furthermore, the Lyα and He ii are marginally detected in the extended regions A and C. The low robustness of these detections are due to both the intrinsic faintness of the gas and the fact that 4C 19.71 is at a very unfortunate redshift. We use the term unfortunate because both the Lyα and He ii spectra are severely affected by strong night sky lines. Due to the difficulty in subtracting night sky lines, which results in strong residuals and the additional noise they add to the spectra, it is difficult to accurately estimate the line parameters throughout the cube of these two emission lines. The very strong [O i] night sky line at λ rest =5577.338 Å falls at almost the exact same wavelength as the redshifted Lyα emission. The He ii emission is affected by three different (weaker) sky lines, which also adversely affect our ability to accurately determine and subtract the underlying continuum emission. This means that the relatively low intrinsic flux from regions A and C in both these lines is uncertain; it also means that it is difficult to fit a line profile to the emission from region B, even though it is much brighter than the emission from A or C. The emission from the non-resonant He ii line is often used to determine the systemic redshift of radio galaxies and can act as a template to determine the associated absorption line profiles of the Lyα and C iv emission lines under the assumption that all lines originate from the same gas. In the case of 4C 19.71, we instead relied on the [C i](1-0) line to determine the systemic redshift, and it is beyond the scope of this paper to characterize the absorbers in region B. C iv is not affected by sky line emission and this means we can fit the line as observed. Thus we can compare the C iv emission with the [C i] line detected with ALMA. This is something new and important for modeling since it provides information about the same species in different ionization states and in a different gas phase. Furthermore, even though the parameters of the Lyα and He ii emission lines are difficult to estimate accurately, we can still determine flux ratios between different lines and recognize that they are relatively uncertain. This is important for photoionization modeling, where flux ratios between different atoms and ionization states provide direct constraints on the physical state of the gas.
The C iv λλ1548,1551 doublet shows narrow line widths in the regions 10 kpc from the AGN. Both regions A and C have C iv emission with sufficiently narrow lines to clearly resolve √ 2 × 3σ, where σ = 45 mJy. Since we did not extract the full Lyα line profile making the map due to the impact of the bright 5755Å night sky line on the Lyα line profile, we are likely missing a significant amount of the flux and have an incomplete map of its flux distribution. the doublet. The C iv doublets are fitted with a simple double Gaussian profile to estimate the integrated line flux, line width, and velocity offset. We used a non-linear least square method to fit a double Gaussian function to the spectrum using the extracted variance spectrum to estimate the flux uncertainty. The reported uncertainties are the square root of the variance, one sigma, of the parameter estimate for the Gaussian fit. For the double Gaussian, we fixed the C iv λ1548/C iv λ1550 doublet ratio to the theoretical ratio of 2:1 (e.g., Flower et al. 1979;Nussbaumer & Schild 1981), the width of the two lines are set to be the same, and the center of the blue component (λ1548.2 Å) is a free parameter with the center of the red component (λ1550.8 Å) fixed to a 2.6 Å shift with respect to the blue line. The best fit for the extracted spectrum of region A yields an FWHM of 179±27 km s −1 , blueshifted by ∼ −133 km s −1 (centered on the blue component) from the systemic redshift, and the doublet has an integrated flux of (11.00±2.10)×10 −18 erg cm −2 s −1 . The extracted spectra from region C show a similar line profile, with an FWHM of 264±48 km s −1 , blueshifted ∼ −35 km s −1 , and with an integrated flux density of (8.70±2.16)× 10 −18 erg cm −2 s −1 . Figure 4 shows the best fit for regions A and B and Table 2 enumerates the line properties.
To estimate the Lyα λ1215.7 Å integrated line flux, we used two independent methods. First, we integrated the velocity bins not affected by sky line subtraction residuals. For regions A and C, the blue and red wings of the emission lines are present in the spectrum, while for region B only the red wing is detected. We integrated the flux over the channels containing the blue and red wings and this yields a lower limit for the integrated Lyα flux. Our second approach was to use the information from the other lines (C iv and [C i]) to predict the redshift of the center of the Lyα emission, and fit a single Gaussian emission profile only to the parts of the Lyα line that are not affected by sky lines or associated absorbers. This technique is rather straightforward for regions A and C, as the narrow C iv is clearly detected; this provides consistent results, leaving only the Lyα peak as an unconstrained parameter while letting the FWHM vary within the uncertainties of the C iv line. Figure 4 shows this single Gaussian fit as a dashed purple line.
This method is more complicated for region B due to the presence of a strong associated absorber seen in both Lyα and C iv. Such absorbers have been observed in several other HzRGs (e.g., Kolwa et al. 2019). An additional complication is the overlap of the two C iv doublet lines since both have associated ab-sorption lines. For this region, we therefore started by fitting the red wing of Lyα at velocities >600 km s −1 . This avoids the peak region where the associated absorber "spills over" to the red side. We then used the Lyα results to fit the C iv line with a fixed 2:1 ratio for the two doublet lines, while keeping the redshift fixed to the Lyα and [C i] redshift. Figure 4 shows this double Gaussian fit as a dashed purple line, with the individual lines also shown in blue and red. In a forthcoming paper, we plan to fit these lines with consistent Voigt profiles to determine the column densities in the associated absorbers. We consider the "maximum" Lyα flux derived from our Gaussian fit as the most reliable measurement. We will only use those values in the remainder of the paper.
The He ii λ1640.4 Å emission is significantly harder to fit due to the presence of three sky lines and the uncertainty in the continuum subtraction. We therefore estimated the flux using a fully constrained (i.e., completely scaled) Gaussian by assuming both the redshift and FWHM from the C iv lines in each region. We plotted the corresponding scaled line profiles for He ii/C iv line flux ratios 1:2, 1:1, 2:1, and 3:1 (Fig. 4). If we can only trust the channels unaffected by strong sky lines, then this tells us that the He ii spectrum of region A is consistent with a ratio of 1:2 to 2:1, close to 1:1 in the AGN region B, and between 2:1 and 3:1 in region C. The He ii is apparently only brighter than C iv in region C.
21h44m06.50s 07.00s 07.50s 08.00s 08.50s . Gray-scale images of C iv emission in 4C 19.71. The regions bound by red lines are positions of the spectra extracted from the MUSE cube, determined from the C iv narrow-band image extracted from the MUSE data cube. The regions bound by cyan lines indicate the positions of the extracted [C i] spectra from the ALMA cube, defined from the [C i] moment-0 map to maximize the resulting signal-to-noise. The northern [C i] detection is unresolved; we extracted the spectrum over one beam area. The extracted spectra are shown in Fig. 4. The three main regions where the spectra are extracted are indicated by an 'A' for the region north of the northern radio lobe, a 'B' for the host galaxy and core where the AGN resides, and a 'C' for the region south of the southern radio lobe. The regions of C iv (regions bounded by red lines) and [C i] (bounded by cyan lines) are not perfectly co-spatial in regions A and C but the C iv emission in these regions encompasses the corresponding regions of [C i] emission.

Foreground objects
In the field around 4C 19.71, four foreground galaxies are detected (Fig. 1). Galaxy 1 is located south of the southern ra-dio lobe at z=0.483 and detected in X-ray, K-band, and IRAC 1. Galaxy 2 at z=3.31 is also located in the southern part of the field; however, it is not seen in any continuum and was detected in line emission while searching through the MUSE cube. Galaxy 3 is located close to the hotspot of the southern radio lobe and is at z=0.693; it was detected in MUSE but not seen in any continuum emission. Galaxy 4 is detected in the K-band and IRAC 1 image and is at z=1.03, and not at the redshift of 4C 19.71 as previously reported from long-slit spectroscopy of Lyα (Maxfield et al. 2002). In the aperture of Galaxy 4, Lyα is detected at the same redshift as 4C 19.71 in the extracted MUSE spectra, but this is just weak extended emission from 4C 19.71 itself and not Lyα emission from Galaxy 4. More details about the redshift confirmation of the four foreground galaxies are available in Appendix A.

A normal star-forming galaxy?
Galaxy 4C 19.71 is a massive high-z radio galaxy with a relatively low SFR of ∼90 M yr −1 and it falls below the main sequence of star-forming galaxies ). The star formation efficiency, SFE=2.74 Gyr −1 , or gas depletion time, τ dep =0.36 Gyr, are somewhat lower than, but are consistent overall with, star-forming galaxies at high-z (Daddi et al. 2010a;Tacconi et al. 2013;Elbaz et al. 2017). We estimated a gas fraction, f gas = M H 2 /(M H 2 +M ), of f gas =0.19±0.07; this is low in comparison to star-forming galaxies at z ∼1-3, which have an average f gas ∼0.5 (Daddi et al. 2010a;Tacconi et al. 2013;Elbaz et al. 2017). All of these values, the short gas depletion time and low gas fraction, are typical of other HzRGs and some submm galaxies (Man et al. 2019). Santini et al. (2014) find that the gas fraction increases with SFR and decreases with stellar mass for main sequence galaxies out to z ∼2.5. For galaxies with a constant log (M / M )≈11.5 at z ∼2.5, they find a gas fraction of f gas ∼0.2; for the same M but at a fixed log SFR∼2, they find f gas ∼0.5. This is consistent with our estimated gas fraction, since 4C 19.71 has a high stellar mass log(M / M )=11.13 M (De Breuck et al. 2010) and low SFR. It should be emphasized that the work by Santini et al. (2014) only includes normal starforming galaxies, not AGNs, and does not cover the redshift of 4C 19.71. To characterize 4C 19.71 further, we estimated the SFR surface density, Σ SFR , and the gas surface density, Σ gas , by assuming the size of an ALMA beam (1.9 ×1.8 ) as the size of both the gas and stellar component (which has been shown to be the case for other radio galaxies, e.g., Miley et al. 1992;Pentericci et al. 2001;Emonts et al. 2015). We estimated logΣ SFR =-0.87 M kpc −2 and logΣ gas =1.69 M pc −2 , both of which are consistent with 4C 19.71 lying along the Schmidt-Kennicutt relation within the large uncertainty of our estimated SFR and the scatter of the relationship itself (Daddi et al. 2010b;Kennicutt 1998a;Genzel et al. 2010). Thus 4C 19.71 appears to be a normal star-forming galaxy with a relatively low SFR.

Galaxy disk misaligned with nuclear launching region?
The kinematics of the submm [C i] and the rest-frame UV line Lyα line emission from the nucleus of 4C 19.71 are vastly different, with FWHMs of ∼90 km s −1 and 1000 km s −1 , respectively. The width of the Lyα emission is only a crude estimate, and we do not know if the broadening is due to resonance scattering, scattered broad line emission, or the intrinsic kinematics of the warm ionized gas around the AGN and circum-nuclear region. In the panels that show the extracted spectra around the wavelengths of the Lyα, C iv, and He ii emission lines, we indicate velocity (wavelength) regions that are strongly affected night sky lines with yellow shading, and these regions are completely ignored for any fits to the line profiles. The purple lines show the best fitting line profiles, while the dashed lines indicate those fits where a significant part of the line has been ignored in constraining the fit (Sects. 3.1 and 3.2). The red shaded part of the Lyα and C iv spectrum of region B indicates the part that was used for the line fitting, and the dashed blue and red lines indicate the individual part of the C iv doublet. Most of the flux in regions A and C is lost due to the impact of the strong night sky line at 5577 Å. Dashed blue, green, cyan, and red lines indicate possible He ii lines profiles, assuming that the relative velocity and FWHM are the same as that for the C iv line and have flux ratios He ii/C iv of 0.5, 1, 2, and 3. The solid cyan curve in the lowest middle panel indicates the spectrum of the 13 CO(4-3) line around the systemic velocity (it is a non-detection and this is simply a spectrum of the noise).
Still, it is clear that the Lyα is much broader than the [C i] over this region. The [C i] line is very narrow and dynamically cold. The gas traced by [C i] cannot be within the gravitational influence of the AGN. The gas is not part of an outflow. It must be outside the ionization cone of the AGN because, unlike other emission lines from the nuclear regions, it is much more dynamically quiescent. The core of the radio source is not detected (Fig. 1) and the source is lobe dominated. The core to lobe fraction can serve as an orientation indicator (Kapahi & Saikia 1982;Drouart et al. 2012). We are likely observing the radio jets propagating more or less in the plane of the sky.
If the [C i] gas is confined within the disk of the host galaxy, we would expect the [C i] line width to be larger, unless we are observing the disk almost face-on. To confirm this, we estimated the dynamical mass (following Feng & Gallo 2014), taking the radius of the galaxy as half a beam size assuming the [C i] line probes the total stellar plus gas mass and that it is equal to the dynamical mass. This results in an inclination of i ∼ 3 • and indicates that we are viewing a rotating disk traced by [C i] emission almost face-on. This means that the galaxy is rotating in the plane of the sky and the radio structure is also propagating in the plane of the sky. Since it is thought that the radio jets are propagating perpendicular to the accretion disk, this means that the orientation of the nuclear launch region is not aligned with the host galaxy. This is not impossible and has been observed in the nearby universe (e.g., Morganti et al. 1998). This is also not the first HzRG showing narrow molecular line emission at the nucleus. Gullberg et al. (2016a) found molecular gas traced by CO(8-7) with FWHM=43±13 km s −1 at the nucleus for the high-z radio galaxy MRC 0943-242. The galaxy has extended Lyα emission with FWHM=1592±44 km s −1 within the circumnuclear region. This galaxy shows similar properties to what we observed and could also be explained as being viewed face-on and having a misalignment between the central nuclear launch region and the galaxy disk.

Molecular gas mass and star formation efficiency in the radio galaxy
We determined the molecular gas mass (M H 2 ) from the [C i](1-0) detection at the host galaxy, following Papadopoulos & Greve  (Weiß et al. 2003). Here, Q 10 is the excitation factor and depends on the temperature and density of the gas, as well as on the intensity of the radiation field impinging upon it ). Without having any other molecular lines (e.g., CO or [C i](2-1)), we cannot constrain this parameter and we assumed the median value of Q 10 =0.48 (Papadopoulos & Greve 2004;Emonts et al. 2018). Finally, A 10 is the Einstein Acoefficient, A 10 =7.93×10 −8 s −1 . At the location of the host galaxy, the integrated [C i] flux density is 0.11±0.04 Jy km s −1 , which results in an estimated total molecular gas mass of M Core H 2 =(3.06±1.11)×10 10 M for the core (region B). The uncertainty in the estimated M H 2 is calculated from the one sigma error of S [CI] , without additional errors arising from from uncertainties in X [Ci] , Q 10 , or A 10 . To check if our estimated value of M Core H 2 is reasonable, we compared it with the molecular gas mass estimated from the observed continuum flux density in ALMA band 3 (via Eq. 16 in Scoville et al. 2016). For ν obs = 103 GHz, S 103GHz = 0.07 mJy , and assuming T dust =40 K, we find a molecular gas mass of M mol = 6×10 10 M , which is close to the M Core H 2 ∼ 3×10 10 M estimated using the [C i] line. Considering that there are significant uncertainties in the [C i]-to-H 2 and CO-to-H 2 conversion factors, which depend on many factors (elemental abundances, physical characteristics of the gas, radiation field impinging on the gas, cosmic ray ionization rate, etc.), and the relatively large uncertainty in the [C i] detection, a factor of two between different estimates of the molecular gas mass is entirely reasonable and expected.
Using the molecular gas mass estimated from the [C i] at the core and the SFR, we estimated the star formation efficiency, SFE≡SFR/M H 2 =2.74 +5.57 −0.99 Gyr −1 ( Table 1). The corresponding depletion time scale, t depl ≡SFE −1 =0.36 +1.08 −0.18 Gyr, is the time it takes a source to consume its molecular gas reservoir. The large uncertainty in these derived quantities arises mainly from the SFR estimate. The SFR is estimated from the total far-infrared (FIR) luminosity of the star-forming component of the host galaxy (integrated over λ rest =8-1000 µm) after disentangling the contribution of the warm dust emission excited by the AGN ). The star-forming component is only constrained by two detections in the infrared (IR), which results in a large uncertainty in the SFR estimate.

The nature of the CGM
We observed a region ∼75 kpc from the nucleus (∼40 kpc from the northern radio lobe, region A) of diffuse gas, detected in C iv and [C i](1-0). To ensure that the [C i] detection is not from a galaxy in the halo, we confirmed that the [C i] is not detected in any continuum emission with ALMA, in the K-band, in any of the four IRAC bands, or with MIPS 24 µm. The MUSE spectrum at this location only shows weak C iv (at the redshift of the radio galaxy) and does not show any additional lines, suggesting that there is no companion galaxy coinciding with the northern [C i] detection. Four other foreground galaxies are, on the other hand, detected in the MUSE cube (see Sect. 3.3 and Appendix A). The C iv and [C i] gas has a low velocity shift with respect to the systemic redshift of the host galaxy, ∆v=5±23 km s −1 for [C i](1-0) and ∆v=−133±14 km s −1 for C iv. Both lines are also very narrow: 108±54 km s −1 and 179±27 km s −1 for [C i](1-0) and C iv, respectively. The dynamics of the gas are quiescent compared to the gas in between the radio lobes. While the kinematics are such that it is not completely clear if the ionized gas and the molecular gas are physically related, they do overlap spatially at the relatively low spatial resolution of our data sets.

Very simple photoionization and photon-dominated region modeling
In order to investigate the physical state of the multi-phase gas detected in the CGM, we modeled the ionization front with Cloudy 17.01, most recently described by Ferland et al. (2013). Grids of models were made assuming the standard ISM abundance ratios scaled to a range of metallicities. As shown in  Table 2. Observed line fluxes and widths in the three regions, both in velocity integrated and frequency-(ALMA line) or wavelength-integrated (MUSE). For the MUSE lines, we give the FWHM, which has been corrected in quadrature using the instrument resolution of ∼110 km s −1 at ∼1550 Å. In the southern region, the [C i] flux is a 3σ upper limit. ( ) The minimum Lyα flux is estimated by integrating over the wavelength range where the emission should be, excluding the wavelength ranges affected by sky lines (yellow regions in Fig. 4). At the core of 4C 19.71, the blue side is completely absorbed and dominated by sky-subtraction residuals from the strong 5577Å sky line; the integrated flux is thus a lower limit since we are missing a significant portion of the likely emission. ( † ) Fit to the Lyα line excluding the wavelengths impacted by the night sky residuals. These fits are shown as the dashed red line in Fig. 4. We note that these estimates are likely to only be accurate to the order-of-magnitude level given the limited range of the profile that is not impacted by the strong night sky line at these wavelengths. ( ) The He ii line is severely affected by sky line noise and residuals and cannot be fitted with any certainty. Instead, the integrated flux is estimated by scaling a Gaussian with the same width and velocity offset as the C iv line, and for flux ratios He ii/C iv = 0.5, 1, and 2 for the northern component and He ii/C iv = 2 and 3 for the southern component, as indicated in Fig. 4.
Sect. 4.4.3, the AGN has sufficient luminosity to ionize the CGM. The ionizing spectrum of the AGN was implemented as a simple hard power-law with a slope of −1 over the energy range of 0.01 to 12 Ryd (the slope is consistent with other studies of AGNs and the range of energies is sufficient to both excite the PDR emission and to ionize He II and C IV; Kraemer & Crenshaw 2000;Osterbrock & Ferland 2006). We also made models with high energy limits from two to a few times higher than 12 Ryd and found that changing this limit made no difference in the line ratios we investigated in this study. The density, for the isochoric models, varied from log n H (cm −3 )=0 to 3 in steps of 1 dex, and the log of the ionization parameters ranged from −4 to −1 in 1 dex increments. Our models had an extinction of A V =2 magnitudes. In our initial exploration of models, we tried a range of extinctions, finding that increasing it beyond two did not affect the results. For the isobaric models, we kept all the parameters the same as for the isochoric models, now allowing the thermal pressure, log P/k (K cm −3 ), to vary from 2 to 4 in steps of 1 dex (we did not include any turbulent or radiation pressure). The initial densities, log n H (cm −3 ), of the isobaric models were 1.0. In order to test the sensitivity of the model results to the slope of the ionizing spectrum, we also modeled the gas illuminated by a power-law spectrum with indices of −1.5 and −2.0 (see Lusso et al. 2015, and references therein). The resulting line ratios show only modest differences compared to our fiducial model, which has a power-law spectral index of −1.0 ( Fig. 6). The modeling was not intended to be exhaustive but only to determine whether or not we could reproduce the observed line ratios with a reasonable, and yet very simple, set of assumptions.
In the extended CGM cloud, we measured the [C i] and C iv fluxes and could roughly estimate the He ii flux. The estimates yield flux ratios of [C i]/C iv=0.017±0.011 and C iv/He ii∼0.5-2. We note that the regions where the [C i] and C iv lines are located are not perfectly co-spatial, but the regions of C iv emission encompass the [C i] emission (upper limit) in region A (region C). This fact will be important for interpreting the nature of these regions. We show the results of the Cloudy modeling and the comparison with these line ratios in Fig. 5. The line ratios of [C i]/C iv and C iv/He ii (Fig. 5) suggest that this region could be an ionization front in a molecular cloud (a photon-dominated region or a PDR) in the CGM, perhaps ionized and excited by the radiation field of the AGN (see also Li et al. 2019). The characteristics of the cloud are not well constrained as a range of models provide acceptable matches with the data given both the uncertainties in the data and also the simplicity of the modeling. We can only conclude from the comparison with the photon excitation modeling that the cloud is not solar metallicity with a normal dust to gas mass ratio for the ISM of our Milky Way (not shown because they fall very low in their [C i]/C iv ratios) and that the gas is low metallicity for the isochoric models, about 0.1 to 0.03 solar, and has a low ionization. Regardless of the slope  Fig. 3 and Cloudy models. The colored points represent the photoionization and photodissociated region (PDR) models as indicated in the legend. The logarithm of the ionization parameter of each of the groups of points in the figure are indicated in the appropriate regions (decreasing from −1 to −4 dex from left to right). For each of the isochoric models, the density of the gas increases upward from log n H (cm −3 )=0 to 3. We also show a set of isobaric models for three pressures, log P/k (K cm −3 )=2, 3, and 4. The three colored boxes show the estimated line ratios, as estimated from our observations (red for region A; green for region B; and blue, which is an upper limit in [C i]/C iv, for region C). We note that the box shown exaggerates the uncertainty in [C i]/C iv and that it shows the range of plausible values for C iv/He ii and not the uncertainties in the estimate.The apertures over which the lines fluxes were extracted are shown in Fig. 3.
of the power-law ionizing and non-ionizing spectrum, the gas is likely low density, n H ∼10 to 100 cm −3 , or low pressure for the isobaric models, P/k∼1000-10000 K cm −3 . We note the isobaric models favor a low metallicity gas of ≈1/300 solar. However, we caution that given the simplicity of the modeling, we can only make the broadest of statements that the cloud is likely not solar metallicity and has a diffuse ionization and low intensity PDR. More observations are certainly needed, but the data we already have indicates it may be possible to construct photoionization and PDR models for CGM clouds linking the warm ionized gas with the diffuse molecular gas.

Predictions of modeling: [C ii] and [N ii] emission
Of course, our simplistic modeling can be used to make testable predictions of the other observable atomic lines in 4C 19.71. Two of the most readily observable bright atomic lines in high redshift galaxies are the FIR [C ii] 2 P 3/2 -2 P 1/2 and [N ii] 3 P 1 -3 P 0 lines at The photoionization and PDR models predict that the [C ii] 2 P 3/2 -2 P 1/2 and [N ii] 3 P 1 -3 P 0 should be about a factor of several 10-1000 times brighter than the [C i] 3 P 1 -3 P 0 line and that the ratio of [C ii]/[N ii] should be roughly constant between 1 and 2 (we note that we assumed constant abundance ratios of C to N in our modeling). If our modeling is close to being appropriate for the cloud or clouds we observed, then observing 4C 19.71 in both lines would provide a robust test of our model and might constrain the metallicity (e.g., Nagao et al. 2012;Béthermin et al. 2016). Of course, if the contribution from PDRs to the [C ii] emission is significant, then such observations will be less constraining since some of the emitting gas is not physically related in a simple way. More elaborate Cloudy modeling -including a varying ratio of C and N that depends on the overall metallicity of the gas in the H ii and PDR regions, such as what was done by Nagao et al. (2011Nagao et al. ( , 2012 or Pereira-Santaella et al. (2017)would be required. Comparing the [N ii] emission with the restframe UV lines would be appropriate as their emission does originate in the ionization front of the cloud or clouds within this region. Despite these caveats, observing the region in both lines would serve to validate or refute our modeling and potentially constrain both the ionizing intensity and the abundance ratio of C to N, as well as, perhaps, the metallicity. As such, these observations could provide interesting constraints on the CGM of this radio galaxy and a type of constraint that is generally lacking for the CGM of distant galaxies.  Fig. 6. The line ratios of [C i]/C iv as a function of C iv/He ii for regions A and C (using the areas shown in Fig. 2 and as labeled in the figure: red for region A and blue for region B). The colored points represent the models as indicated in the legend and are the same as in Fig. 5. We only show the region for an ionization parameter of log U=−3. The solid points indicate the ratios for a model AGN power-law ionizing spectrum with a slope of −1.5, while the hollow points show the results of a model with a power-law ionizing slope of −2.0. This is in contrast with Fig. 5, which only shows the line ratios for a model with a power-law slope of −1.0. The leftward pointing arrow represents the upper limit to the ratio of C iv/He ii≈1.

Consistency with the AGN ionization rate
As a consistency check, we estimated the total ionizing energy rate of the AGN in the radio galaxy to ensure that it has sufficient energy to actually ionize and excite the cloud. To do this, we used the definition of the ionization parameter, which the Cloudy modeling suggests is approximately 1/1000. For a cloud that is 75 kpc from an ionizing source, we find that the required ionizing intensity is 2.1×10 55 (d cloud /75 kpc) 2 n H photons s −1 . If we assume that all of the ionizing photons have an energy of 13.6 eV for simplicity, we find that the total ionizing energy of the AGN in the radio galaxy has to be at least 4.6×10 44 (d cloud /75 kpc) 2 n H erg s −1 , given our estimated ionization parameter from the modeling. In Falkendal et al. (2019), we estimated the IR luminosity of the AGN to be 4.2×10 46 erg s −1 from SED fitting. The ratio of the IR to UV luminosities is approximately 1 in QSOs (see Elvis et al. 1994;Richards et al. 2006) and thus the IR luminosity estimate puts a rough upper limit on the likely UV luminosity of the AGN. The AGN in 4C 19.71 only emits sufficient UV photons for relatively low density gas with n H < ∼ 100 cm −3 . If the starburst in 4C 19.71 contributes any photons, it can, at most, contribute about a factor of a few more. However, we would not expect the photons from the recent star formation to escape very far out into the halo of the source. Thus, for the photoionization and PDR model to be applicable, either the gas must have a relatively low density compared to what is normally modeled for PDRs at the surfaces of molecular clouds, or the cloud must lie along a particularly clear line-of-sight since we assumed isotropic QSO emission in our crude calculation.At any rate, it is at least plausible that the AGN can excite the cloud.

Gas masses of the CGM clouds
Using Eq. 1, we can estimate the masses of molecular gas in the CGM cloud we detected in [C i](1-0). Assuming the same parameters as we did for the radio galaxy proper (region B), we find M north H 2 =(1.42±0.95)×10 10 M for the northern detection (region A). We note that we used X [Ci] =10 −5 , the ratio of [C i] to H 2 , to make this estimate. This value is consistent with the value determined in the Milky Way and some distant galaxies (i.e., relatively metal rich, Frerking et al. 1989;Weiß et al. 2005;Emonts et al. 2018). However, our simple photoionization modeling is consistent with a significantly lower metallicity in the CGM of 4C 19.71. Our best estimate of the metallicity is about a factor of ten lower than in the Milky Way, for example, and if this is the case, then the molecular mass would be a factor of ten higher.
The ionized gas mass can be estimated from the Lyα emission using the relation from De Breuck et al. (2003): where ff −5 is the filling factor in units of 10 −5 , L 44 is the Lyα luminosity in units of 10 44 erg s −1 , and V 68 is the total volume in units of 10 68 cm 3 . We do not know the filling factor. From the photoionization modeling, we find that densities of about 10-100 cm −3 are consistent with the line ratios. It is simple to show that the volume filling factor assuming case B recombination in the cloud is: where V em /V geometric is the ratio of the emitting volume and the geometric volume (the geometric volume is defined as the volume over which the Lyα emission is located). For regions A and C, we crudely estimated the volume as a cube of 60 kpc 3 (which is equivalent to assuming 2 in projection in three dimensions at the estimated distance of 4C 19.71); for region B, we used 1 in projection, corresponding to a volume of 7.5 kpc 3 . We find that the volume filling factors of the two clouds must be very small. The lower limit and best estimates of the total Lyα flux and range of densities suggests ff V > 10 −7 and up to ≈10 −4 (with the lower value from the lower limits on the Lyα fluxes and assuming a density of 100 cm −3 ). These values are consistent with values found in other studies (10 −5 to 10 −6 ; McCarthy et al. 1990;Nesvadba et al. 2006). The regions that dominate the emission are composed of cloudlets and rivulets of warm ionized gas that only fill a small fraction of the observed volume. Although the estimates of the masses could have been cast originally as proportional to the density instead of to the volume filling factor, using Eq. 2 we estimated the masses of the warm ionized gas in the clouds to be: M north HII >1.4×10 6 to 9.4×10 7 M in region A and M south HII >6.3×10 6 to 1.3×10 8 M in region C. The lower limits we used are the lower limits to the Lyα fluxes of both regions and the high range of the estimated densities, 100 cm −3 . For this particular calculation, we assumed the gas is completely photoionized, that the proton and electron densities are equal, and that much of the intrinsic Lyα emission has not been absorbed by dust. We believe we can safely ignore the impact of dust on the Lyα fluxes. The low metallicity we estimated for the regions of warm ionized gas and the lack of dust detection indicate that the dust fraction is not high. In addition, a low volume filling factor and velocity differences between the various emission line regions (dispersions of ≈130 km s −1 ) probably mean that each Lyα photon is unlikely to encounter many clouds or rivulets along its path out of the region. Thus, scattering is unlikely to be a dominant effect (e.g., Vernet et al. 2017).

Importance of multi-phase observations and the nature of the emission region
Tracing the CGM gas in ionized emission from rest-frame UV lines has revealed large extended halos around high-z galaxies. The Lyα emission is seen to be distributed as a more or less uniform sphere around the galaxies (Wisotzki et al. 2016;Leclercq et al. 2017Leclercq et al. , 2020 or show more complex structures (e.g., Cantalupo et al. 2014;Vernet et al. 2017;Li et al. 2019;Martin et al. 2019). Observing the CGM in emission such as Lyα is thus a powerful tool to probe the extent and structure of the CGM. On the other hand, the ionized gas only traces warm, very diffuse gas, which is likely not the phase in which most of the gas mass exists. For example, Emonts et al. (2016) and Emonts et al. (2018) show that the cold gas phase in the CGM around the HzRGs, known as the Spiderweb (MRC 1138-262), contains a large reservoir of molecular gas, M H 2 =(1.5±0.4)×10 11 M . We find that the northern region of emission (region A) of quiescent CGM gas contains a large amount of molecular gas mass, M H 2 < ∼ 10 10 M , compared to the ionized gas mass, M HII >1.3 × 10 6 and up to almost 10 8 M . The molecular mass is about 2-4 orders of magnitude larger than the ionized gas mass. We note that if the metallicity of region A is as low as we estimated, the molecular gas mass fraction will be even higher (perhaps by up to an order of magnitude). The situation in region C is obviously not so clear. We do not detect any [C i](1-0) emission over this region, which suggests that its molecular gas content is much smaller, while it has a larger (∼3-5 ×) H ii mass than region A. The limit on the molecular to warm ionized mass is then at least about an order of magnitude smaller in region C than in region A. It is still likely that the molecular gas dominates the mass, but only deeper observations will allow us to determine this quantitatively (the upper limit for the difference is still of the order of three orders of magnitude!).
Empirically, it appears that the CGM is best observed in molecular lines, as it may probe the phase that dominates the mass budget. Most of the work on high-z galaxies have so far studied either the ionized gas or molecular gas, but rarely both. Complementing ionized emission studies with molecular line tracers provides a novel way to probe the complex multi-phase nature of the CGM. It may also probe a larger fraction of the gas mass of the CGM and the morphology of the total mass distribution of the system, especially the cores in the mass distribution (see Emonts et al. 2019 Table 3. Stellar mass and ionized-and molecular-gas mass for the host galaxy (region B) and the diffuse extended north component (region A) detected in C iv and [C i](1-0). * Lower limits estimated by not considering in the line fits any part of the Lyα profile that was impacted by strong night sky line emission or possible associated absorption and a density of 100 cm −3 . † The mass estimate of the M HII comes from the fit of the line profile corrected for associated HI absorption and assuming a density of 10 cm −3 . Assuming a lower density results in higher M HII masses. See text for details on how the densities are constrained.
Our modeling suggests, since circumgalactic gas is estimated to have much lower average densities, that this cloud of gas is either transient (in that it has a pressure higher than that of the surrounding medium) or it is pressure confined and longer lived. In Sect. 4.4.1, for our isobaric models, we estimated pressures of P/k∼1000-10000 K cm −3 in the cloud. For the cloud to be pressure confined, assuming that there is a hot halo with a temperature approximately that of the virial temperature (a few 10 6−7 K for a halo with a mass of 10 13−14 M ), it would require densities of ∼10 −3 cm −3 . At such large radii in the halo, it is not clear if there is sufficient pressure to confine clouds like the ones we discovered in this study. While we do not know the mass of the halo, the high stellar mass (Table 3) likely indicates that it is massive (∼ 10 13 M ; Legrand et al. 2019). Numerical simulations suggest that there is sufficient thermal pressure in massive halos at z=3 to confine clouds of the properties we have estimated (Rosdahl & Blaizot 2012). If this is the case, then observing the emission from the warm ionized gas that is offset from the molecular gas suggests that the cloud is being photo-evaporated and eroded by the momenta of the photons striking and heating the dense gas.
The dynamics and spatial offset between the rest-frame UV and submm line emission may suggest that the warm ionized gas and the diffuse molecular gas are not related in contrast to the photoionization and PDR modeling. The explanation, however, may lie in the differences in the nature of the ionization fronts. We do not have enough detailed observations to know for sure, but perhaps the best analogy for this situation is a cloud of gas that is being photo-evaporated, such as the "Pillars of Creation" in M16 (McLeod et al. 2015) or in the pillars of dense gas near NGC 3603 (Westmoquette et al. 2013) in our Galaxy. In these photo-evaporation flows, the highly ionized gas is accelerated at the edge of the denser molecular pillar by the intense radiation field responsible for ionizing the gas at the photoevaporation front, from which it is spatially offset. Over time, the cloud will be completely dispersed by the intense radiation field. While perhaps not a perfect analogy, it does provide the sense that the warm ionized gas gets accelerated as well as ionized, and that it reaches both higher thermal and ram pressures compared to the quiescent dense diffuse molecular gas. In addition, since it is accelerating and flowing away, the warm ionized and molecular gas phases are no longer perfectly co-spatial. Such a picture may explain the differences in the kinematics and the more extended, offset morphology of the UV emission lines while still being consistent with a very simplistic photoionization and photon-dominated model of a cloud of gas.

Conclusions
We observed the HzRG 4C 19.71 in rest-frame UV emission lines with MUSE and in [C i](1-0) with ALMA. The combination allowed us to probe the ionized gas and the molecular gas of the host galaxy, as well as of the surrounding CGM.
-We detect narrow, dynamically quiescent [C i](1-0) at the core of the host galaxy. In order to explain the very narrow line width, we need to be viewing the galaxy face-on, rotating in the plane of the sky. This would mean that the host galaxy is not aligned with the nuclear launching region, as we are viewing this type II AGN edge-on, and the radio jets are propagating in the plane of the sky. -We weakly detect [C i](1-0) emission ∼75 kpc away from the host galaxy. This emission is not perfectly co-spatial but does lie approximately within the region of weak extended C iv emission. The two carbon lines do not have the same FWHM and velocity offset relative to the systemic redshift, but they are both very narrow and must originate from dynamically cold gas. -We performed photoionization and photon-dominated region modeling using Cloudy to investigate the possible nature of the extended quiescent gas detected in C iv and [C i]. We are able to explain the observed [C i]/C iv and C iv/He ii flux ratios with simple assumptions, and they are consistent with PDR-dominated regions in the CGM. We stress that this is meant as a proof of concept and not intended to be an exhaustive analysis. -The photoionization and PDR modeling suggests that the observed multi-phase region has a low metallicity, low ionization, and low density. We show that the luminosity of the AGN is sufficient to ionize the gas out to 75 kpc if the gas is diffuse enough (i.e., n H < ∼ 100 cm −3 ). This is consistent with the idea that these regions of the CGM are likely being photo-evaporated and eroded by the momenta of the photons striking and heating the dense gas observed in [C i].
Our data suggest that the CGM in 4C 19.71 contains a multiphase region of ionized and molecular gas. This gas cloud can be explained as being ionized by the AGN. We are limited to low signal-to-noise and the source is at an unfortunate redshift, which makes the Lyα and He ii unusable for kinematic studies. We therefore rely only on the weak C iv emission. The [C i] has been shown to probe a larger amount of gas mass than what ionization lines can trace. This work shows the possibilities and power of observing galaxies using both ionized and molecular gas. We would need to observe 4C 19.71 in more lines to get a deeper understanding of the physical condition of the CGM. The HzRGs provide unique opportunities to study the CGM, since they are luminous enough to excite the gas out to large distances. The radio jets and ionization cones act as flashlights, illuminating the surrounding diffuse CGM and making it shine.   The spectrum of the foreground of Galaxy 2 at z=3.31. The spectrum was extracted over a circular aperture with a radius of 3 pixels. We assumed the only line detected is due to Lyα emission, but it is not possible to estimate a robust redshift without a detection in any other lines.   Observed wavelength [Å] [OII]λ3727 Such an identification is consistent with a continuum break observed in the spectrum. We believe this is likely the 4000 Å break, which is consistent with our line identification.