Microscopic origin of the BekensteinHawking entropy of supersymmetric AdS_{5} black holes
Abstract
We present a holographic derivation of the entropy of supersymmetric asymptotically AdS_{5} 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 onshell 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 = 1 SCFT on a twisted S^{1} × S^{3} 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 BekensteinHawking entropy of the black hole.
 Publication:

Journal of High Energy Physics
 Pub Date:
 October 2019
 DOI:
 10.1007/JHEP10(2019)062
 arXiv:
 arXiv:1810.11442
 Bibcode:
 2019JHEP...10..062C
 Keywords:

 AdSCFT Correspondence;
 Black Holes in String Theory;
 Supersymmetric Gauge Theory;
 High Energy Physics  Theory
 EPrint:
 v4: minor changes, version published in JHEP