IAS Physics Group Meeting
The Quantum Entropy of Supersymmetric Black Holes and the Schwarzian Theory
Abstract: I will review and revisit the quantum entropy of supersymmetric black holes, which is defined as a gravitational path integral in the near-horizon AdS2 region.
This has been studied in the past using different methods: loop calculations give rise to leading logarithmic corrections to the Bekenstein-Hawking area law, and localization gives rise to a sum over all perturbative corrections. (These results are spread over many papers, I will try to summarize the main points.)
The new development (contained in 2209.13602, 2209.13608) has to do with the exact treatment of the zero-modes that appear in the near-horizon region, which can be described by the Schwarzian action at small temperatures. I will show how this allows us to (1) calculate the non-perturbative effects in the localization calculation, so as to get integers degeneracies out of gravity, and (2) control the zero-temperature limit properly for extremal black holes, leading to new logarithmic effects.