| Abstract: |
From the perspective of classical gravity, a black hole is the simplest object we know of. At the same time, it possesses huge entropy, hinting at an incredibly complex microstructure: understanding this fact falls in the realm of quantum gravity. In this talk I will review recent results concerning the microscopics and the thermodynamics of black holes in asymptotically flat and (Anti-)de Sitter space. In the first part, I will describe how recently developed techniques allow to compute the quantum corrections to the entropy of near-extremal Kerr black holes. I will show that the quantum-corrected near-extremal entropy exhibits 3/2logT behavior characteristic of the Schwarzian model, and predicts the lifting of the ground state degeneracy for the extremal Kerr black hole. I will then show the computation for the density of states for spinning black holes in AdS4, which admit a supersymmetric limit, and comment on the spectrum of near-BPS states and on the interpretation in terms of the dual 3d field theory. I will finish with some work in progress on quantum corrections to the entropy of near extremal de Sitter black holes.
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