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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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 languageEnglish
Article number62
Pages (from-to)1-55
JournalJournal of High Energy Physics
Issue number10
Early online date7 Oct 2019
Publication statusPublished - Oct 2019


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


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