In this talk, we will derive and solve an effective theory to describe 4D flat space black holes which are just above the BPS bound. This theory is an N=4 supersymmetric version of the 2D Jackiw-Teitelboim gravity <-> 1D Schwarzian correspondence which we will obtain from nearly AdS2xS2 black holes in 4D N=2 supergravity. Using the Schwarzian description of these low temperature black holes, we can compute the partition function and density of states exactly. Our results verify several conjectures about near-BPS black holes coming from string theory, including an exact extremal degeneracy agreeing with Bekenstein-Hawking and a thermodynamic mass gap between extremal and near-extremal black holes.
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December 8, 2020 @ 4:00 pm – 5:00 pm
Title: The Statistical Mechanics of Near-BPS Black Holes
Abstract: The status of near extremal black holes in gravity and string theory has long remained unclear due to the failure of black hole thermodynamics at low temperatures. Such black holes have an AdS2 region, and substantial progress in the last few years has been made on Jackiw-Teitelboim (JT) dilaton gravity, which is an effective theory of nearly AdS2 spacetimes dual to a 1D “Schwarzian” theory.
Based on a recent paper (https://arxiv.org/abs/2011.01953) with MTH, Luca Iliesiu, Gustavo Turiaci, and Wenli Zhao.