Plane of initial conditions [Fe/H]-[M_D/M_SN]  leading to the formation of synthetic planets larger than 300 M_⊕. Different symbols indicate disk lifetimes: red filled squares are low τ_disk < 2 Myr. Black triangles are intermediate τ_disk (2 to 4 Myr), and green open circles are disks with a long lifetime of 4 to 7 Myr. The dotted line corresponds to an initial solid surface density of 6 g/cm² at 5.2 AU. Between the dashed and the dotted line, no short-lived disk can lead to giant planet formation.