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On the exact entropy of N = 2 black holes

by Joao Gomes, Huibert het Lam, Grégoire Mathys

Submission summary

As Contributors: Grégoire Mathys
Preprint link: scipost_202007_00058v1
Date submitted: 2020-07-24 22:03
Submitted by: Mathys, Grégoire
Submitted to: SciPost Physics
Academic field: Physics
Specialties:
  • High-Energy Physics - Theory
Approach: Theoretical

Abstract

We study the exact entropy of four-dimensional N = 2 black holes in M-theory both from the brane and supergravity points of view. On the microscopic side the degeneracy is given by a Fourier coefficient of the elliptic genus of the dual two-dimensional N = (0; 4) SCFT and can be extracted via a Rademacher expansion. We show how this expansion is mapped to a modi ed OSV formula derived by Denef and Moore. On the macroscopic side the degeneracy is computed by applying localization techniques to Sen's quantum entropy functional reducing it to a nite number of integrals. The measure for this nite dimensional integral is determined using a connection with Chern-Simons theory on AdS2 x S1. The leading answer is a Bessel function in agreement with the microscopic answer. Other subleading corrections can be explained in terms of instanton contributions.

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Submission scipost_202007_00058v1 on 24 July 2020

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