期刊
JOURNAL OF HIGH ENERGY PHYSICS
卷 -, 期 12, 页码 -出版社
SPRINGER
DOI: 10.1007/JHEP12(2019)054
关键词
AdS-CFT Correspondence; Black Holes in String Theory; Conformal Field Theory; Supersymmetric Gauge Theory
资金
- FWO [G0F9516N]
- KU Leuven C1 grant [ZKD1118 C16/16/005]
- Nederlandse Organisatie voor Wetenschappelijk Onderzoek (NWO)
- Dutch Ministry of Education, Culture and Science (OCW)
- Mainz Institute for Theoretical Physics (MITP) of the Cluster of Excellence PRISMA+ [39083149]
We study a supersymmetric, rotating, electrically charged black hole in AdS(4) which is a solution of four-dimensional minimal gauged supergravity. Using holography we show that the free energy on S-3 and the superconformal index of the dual three-dimensional N = 2 SCFT, in the planar limit, are related in a simple universal way. This result applies to large classes of SCFTs constructed from branes in string and M-theory which we discuss in some detail. For theories of class R, which arise from N M5-branes wrapped on hyperbolic three-manifolds, we show that the superconformal index agrees with the black hole entropy in the large N limit.
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