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

Alejandro Cabo-Bizet; Davide Cassani; Dario Martelli; Sameer Murthy

doi:10.1007/JHEP10(2019)062

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

Alejandro Cabo-Bizet^*, Davide Cassani, Dario Martelli, Sameer Murthy

^*Corresponding author for this work

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Abstract

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 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 N=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.

Original language	English
Article number	62
Pages (from-to)	1-55
Journal	Journal of High Energy Physics
Volume	2019
Issue number	10
Early online date	7 Oct 2019
DOIs	https://doi.org/10.1007/JHEP10(2019)062
Publication status	Published - Oct 2019

Keywords

AdS-CFT Correspondence
Black Holes in String Theory
Supersymmetric Gauge Theory

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10.1007/JHEP10(2019)062Licence: CC BY

Microscopic origin_CABO-BIZET_submitted 25 Feb 19Submitted manuscript, 780 KB
Microscopic origin of the_CABO-BIZET_Accepted17September2019Publishedonline7October2019_GOLD VoR (CC BY)Final published version, 1.04 MBLicence: CC BY

Cite this

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title = "Microscopic origin of the Bekenstein-Hawking entropy of supersymmetric AdS5 black holes",

abstract = "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 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 N=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.",

keywords = "AdS-CFT Correspondence, Black Holes in String Theory, Supersymmetric Gauge Theory",

author = "Alejandro Cabo-Bizet and Davide Cassani and Dario Martelli and Sameer Murthy",

year = "2019",

month = oct,

doi = "10.1007/JHEP10(2019)062",

language = "English",

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TY - JOUR

T1 - Microscopic origin of the Bekenstein-Hawking entropy of supersymmetric AdS5 black holes

AU - Cabo-Bizet, Alejandro

AU - Cassani, Davide

AU - Martelli, Dario

AU - Murthy, Sameer

PY - 2019/10

Y1 - 2019/10

N2 - 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 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 N=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.

AB - 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 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 N=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.

KW - AdS-CFT Correspondence

KW - Black Holes in String Theory

KW - Supersymmetric Gauge Theory

UR - https://arxiv.org/abs/1810.11442

U2 - 10.1007/JHEP10(2019)062

DO - 10.1007/JHEP10(2019)062

M3 - Article

AN - SCOPUS:85073634577

SN - 1126-6708

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EP - 55

JO - Journal of High Energy Physics

JF - Journal of High Energy Physics

IS - 10

M1 - 62

ER -

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

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