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 on-shell gravitational action with respect to three chemical potentials subject to a 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 $mathcalN=1$ SCFT on a twisted $S^1 imes S^3$ 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 Bekenstein-Hawking entropy of the black hole.

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

Dario Martelli;
2019

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 on-shell gravitational action with respect to three chemical potentials subject to a 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 $mathcalN=1$ SCFT on a twisted $S^1 imes S^3$ 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 Bekenstein-Hawking entropy of the black hole.
0
55
http://arxiv.org/abs/1810.11442v3
High Energy Physics - Theory
Alejandro Cabo-Bizet; Davide Cassani; Dario Martelli; Sameer Murthy
File in questo prodotto:
File Dimensione Formato  
JHEP10(2019)062.pdf

Accesso aperto

Tipo di file: PDF EDITORIALE
Dimensione 1.08 MB
Formato Adobe PDF
1.08 MB Adobe PDF Visualizza/Apri

I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.

Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/2318/1713944
Citazioni
  • ???jsp.display-item.citation.pmc??? ND
  • Scopus 74
  • ???jsp.display-item.citation.isi??? 73
social impact