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arXiv · 1512.08349

CFT dual of charged AdS black hole in the large dimension limit

Er-Dong Guo·Miao Li·Jia-Rui Sun
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Abstract

We study the dual CFT description of the $d+1$-dimensional Reissner-Nordström-Anti de Sitter (RN-AdS$_{d+1}$) black hole in the large dimension (large $d$) limit, both for the extremal and nonextremal cases. The central charge of the dual CFT$_2$ (or chiral CFT$_1$) is calculated for the near horizon near extremal geometry which possess an AdS$_2$ structure. Besides, the $Q$-picture hidden conformal symmetry in the nonextremal background can be naturally obtained by a probe charged scalar field in the large $d$ limit, without the need to input the usual limits to probe the hidden conformal symmetry. Furthermore, an new dual CFT description of the nonextremal RN-AdS$_{d+1}$ black hole is found in the large $d$ limit and the duality is analyzed by comparing the entropies, the absorption cross sections and the retarded Green's functions obtained both from the gravity and the dual CFT sides.

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Er-Dong Guo, Miao Li, Jia-Rui Sun. 2016-03-02. CFT dual of charged AdS black hole in the large dimension limit. https://doi.org/10.1142/s0218271816500851

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