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Microscopic origin of the Bekenstein-Hawking entropy of supersymmetric AdS5 black holes
Ist Teil von
The journal of high energy physics, 2019-10, Vol.2019 (10), p.1-56, Article 62
Ort / Verlag
Berlin/Heidelberg: Springer Berlin Heidelberg
Erscheinungsjahr
2019
Link zum Volltext
Quelle
EZB Electronic Journals Library
Beschreibungen/Notizen
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 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
×
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.