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

被引:191
作者
Cabo-Bizet, Alejandro [1 ]
Cassani, Davide [2 ]
Martelli, Dario [1 ,3 ]
Murthy, Sameer [1 ]
机构
[1] Kings Coll London, Dept Math, London WC2R 2LS, England
[2] INPN, Sez Padova, Via Marzolo 8, I-35131 Padua, Italy
[3] Galileo Galilei Inst, Largo Enrico Fermi 2, I-50125 Florence, Italy
基金
芬兰科学院; 欧洲研究理事会;
关键词
AdS-CFT Correspondence; Black Holes in String Theory; Supersymmetric Gauge Theory; PHASE-TRANSITION; N=1; INTEGRALS; INDEX;
D O I
10.1007/JHEP10(2019)062
中图分类号
O412 [相对论、场论]; O572.2 [粒子物理学];
学科分类号
摘要
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 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)xS(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.
引用
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页数:56
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