Near Horizon Analysis of Extremal AdS5 Black Holes

Choi, Jaehyung; Lee, Sungjay; Lee, Sangmin

doi:10.48550/arxiv.0802.3330

Cited by 1 publication

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References 43 publications

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“…Using these relations, the numerator in the expression (2.8) for the temperature can be rewritten as [39]. Hence the extremality condition corresponds to r 2 + = r 2 0 , meaning that r 2 ∆ r has a double root indeed.…”

Section: Review Of Ads 5 Black Hole Solutionsmentioning

confidence: 99%

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

Cabo-Bizet

Cassani

Martelli

et al. 2019

J. High Energ. Phys.

221

441

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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 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 Bekenstein-Hawking entropy of the black hole.This makes it manifest that in the BPS limit, r + = r * , again the imaginary parts vanish, while the real parts coincide with the BPS values in (2.23). The energy E is also complex and it satisfies the relation

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Section: Review Of Ads 5 Black Hole Solutionsmentioning

confidence: 99%