Microscopic origin of the Bekenstein-Hawking entropy of supersymmetric AdS5 black holes

By Alejandro Cabo-Bizet, D. Cassani, D. Martelli, S. Murthy. Journal of High Energy Physics, 2018

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We present a holographic derivation of the entropy of supersymmetric asymptotically AdS5 black holes. We define a BPS limit of black hole thermodynamics by first focussing on a supersymmetric family of complexified solutions and then reaching extremality. We show that in this limit the black hole entropy is the Legendre transform of the on-shell gravitational action with respect to three chemical potentials subject toa constraint. This constraint follows from supersymmetry and regularity in the Euclidean bulk geometry. Further, we calculate, using localization, the exact partition function of the dual N\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$ \mathcal{N} $$\end{document} = 1 SCFT on a twisted S1 × S3 with complexified chemical potentials obeying this constraint. This defines a generalization of the supersymmetric Casimir energy, whose Legendre transform at large N exactly reproduces the Bekenstein-Hawking entropy of the black hole.

Subfields: Astronomy and Astrophysics, Nuclear and High Energy Physics, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/3be0aa5970cb585356ce4a6532d88c22e6fb95d4

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Black Holes in 4D N=4 Super-Yang-Mills Field Theory (2018, background): “Let us review it, following the detailed discussion in Appendix B of [47].”