Orateur
Description
In this talk I will describe how recently developed techniques allow to compute the quantum corrections to the entropy of near-extremal black holes, by regularizing certain zero-modes appearing in the gravitational path integral in the near horizon geometry. I will show that the quantum-corrected near-extremal entropy exhibits 3/2 log T behavior characteristic of the Schwarzian model, and predicts the lifting of the ground state degeneracy for the extremal Reissner-Nordstrom black hole. I will then explain the subtleties arising when applying these techniques to the Kerr solution and to warped $\text{AdS}_3$ black holes. For the latter case, I will show that Newman-Penrose formalism is a useful tool for bridging the near horizon geometry picture to the full black hole one.