Fig. 1.

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Schematic cartoon of inner disk-star connection. The star (black quarter circle on the left) has a radius of R⋆ and rotates with Ω⋆. Disk material (gray area) flows from the outer disk toward the inner disk radius rin, where it is forced into funnel flows and is accreted onto the star (e.g., Romanova et al. 2004; Bessolaz et al. 2008; Steiner et al. 2021) with an accretion rate of ṀW. The accreted disk material increases the stellar angular momentum by Γacc. Based on the model, a specific fraction of the accreted mass is driven into a stellar wind, which removes mass and angular momentum from the star (Ṁref and ΓW, respectively). The Alfvén radius rA acts as a lever arm for this stellar outflow. We note that this cartoon is not to scale and we can usually assume rA ≫ R⋆. Angular momentum can be transferred toward or away from the star (ΓME), depending on the position of rin with respect to the corotation radius rcor (e.g., Zanni & Ferreira 2013). Finally, magneto-centrifugally driven disk winds remove angular momentum and mass from the disk before it can be accreted on the star (e.g., Königl et al. 2011; Bai & Stone 2013). We note that disk winds are not included in our model.
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