Speaker
Description
Starting from 1810.11442 it was discovered that the dominant supersymmetric Euclidean AdS_5 black hole saddle is non-extremal (but complex, thus avoiding no-go theorems). If extremality is further imposed it becomes the standard supersymmetric and extremal (real) BPS saddle. At leading order in large N the thermodynamics of this saddle is recovered holographically by computing the superconformal index of the dual 4d field theory.
I will describe a novel limit towards the vicinity of the BPS point, characterized by two independent parameters: small physical temperature (T) and a small deviation from supersymmetry (ε). In the near-horizon limit the supergravity saddle becomes an exact solution to the equations of motion, further it solves the Killing spinor equation to first order in ε, and to all orders in T. I will then discuss the thermodynamic properties of this near-extremal, near-horizon limit and derive its super-Schwarzian mode. Depending of progress, I will also discuss how the super-Schwarzian mode is encoded holographically, and how, despite the supersymmetry breaking, one can still retain calculational control in the dual field theory to first order in ε.
If time permits, I will also relate this discussion to recent ongoing work on odd-dimensional equivariant localization in supergravity.
