Twofold hidden conformal symmetries of the Kerr-Newman black hole

Chen, Chiang-Mei; Huang, Ye; Sun, Jia Rui; Wu, Ming Fan; Zou, Shou Jyun

doi:10.1103/physrevd.82.066004

Cited by 59 publications

(74 citation statements)

References 79 publications

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“…For non-extremal Kerr-Newman black hole, the hidden conformal symmetries in the Jpicture and Q-picture were studied in [18,23] and [20] respectively. In the J-picture we have the temperatures 12) and in the Q-picture…”

Section: Kerr-newman Black Holementioning

confidence: 99%

“…The potential terms in the last line of left-handed side can be neglected if we make the following assumptions [20]: (1)small frequency ωM ≪ 1 (consequently ωa ≪ 1 and ωQ ≪ 1), (2)small probe mass µM ≪ 1 (consequently µa ≪ 1 and µQ ≪ 1), (3)small probe charge Qe ≪ 1, (4)near regionωr ≪ 1 withω = max{ω, µ}. Then we have the polar angular and radial…”

Section: Charged Massive Scalar Wave Equationmentioning

confidence: 99%

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General hidden conformal symmetry of 4D Kerr-Newman and 5D Kerr black holes

Chen

Zhang

2011

J. High Energ. Phys.

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There are two known CFT duals, namely the J-picture and the Q-picture, for a fourdimensional Kerr-Newman black hole, corresponding to the angular momentum J and the electric charge Q respectively. In our recent study we found a set of novel CFT duals for extremal Kerr-Newman black hole, incorporating these two pictures. The novel CFT duals are generated by the modular group SL(2, Z). In this paper we study these novel CFT duals for the generic non-extremal Kerr-Newman black hole. We investigate the hidden conformal symmetry in the low frequency scattering off Kerr-Newman black hole, from which the dual temperatures could be read. We find that there still exists a hidden conformal symmetry for a general CFT dual. We reproduce the correct BekensteinHawking entropy from the Cardy formula, assuming the form of the central charge being invariant. Moreover we compute the retarded Green's function in the general CFT dual picture and find it is in good match with the CFT prediction. Furthermore we discuss the hidden conformal symmetries of the five dimensional Kerr black hole and obtain the similar evidence to support the general dual CFT pictures. *

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Section: Kerr-newman Black Holementioning

confidence: 99%

Section: Charged Massive Scalar Wave Equationmentioning

confidence: 99%

General hidden conformal symmetry of 4D Kerr-Newman and 5D Kerr black holes

Chen

Zhang

2011

J. High Energ. Phys.

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“…Some related works on the hidden conformal symmetry of non-extremal black holes are listed in [43][44][45][46][47][48][49][50][51][52][53][54][55].…”

Section: Jhep09(2010)039mentioning

confidence: 99%

Holographic dual of linear dilaton black hole in Einstein-Maxwell-dilaton-axion gravity

Ren

2010

J. High Energ. Phys.

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Motivated by the recently proposed Kerr/CFT correspondence, we investigate the holographic dual of the extremal and non-extremal rotating linear dilaton black hole in Einstein-Maxwell-Dilaton-Axion Gravity. For the case of extremal black hole, by imposing the appropriate boundary condition at spatial infinity of the near horizon extremal geometry, the Virasoro algebra of conserved charges associated with the asymptotic symmetry group is obtained. It is shown that the microscopic entropy of the dual conformal field given by Cardy formula exactly agrees with Bekenstein-Hawking entropy of extremal black hole. Then, by rewriting the wave equation of massless scalar field with sufficient low energy as the SL L (2, R) × SL R (2, R) Casimir operator, we find the hidden conformal symmetry of the non-extremal linear dilaton black hole, which implies that the non-extremal rotating linear dilaton black hole is holographically dual to a two dimensional conformal field theory with the non-zero left and right temperatures. Furthermore, it is shown that the entropy of non-extremal black hole can be reproduced by using Cardy formula.

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“…(58) is the standard Casimir operator of the SL(2, R) L × SL(2, R) R symmetry group and following the method of probing the Q-picture hidden conformal symmetry [24][25][26], we obtain…”

Section: Note That For Finitementioning

confidence: 99%

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

Guo

Sun

2016

Int. J. Mod. Phys. D

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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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Twofold hidden conformal symmetries of the Kerr-Newman black hole

Cited by 59 publications

References 79 publications

General hidden conformal symmetry of 4D Kerr-Newman and 5D Kerr black holes

General hidden conformal symmetry of 4D Kerr-Newman and 5D Kerr black holes

Holographic dual of linear dilaton black hole in Einstein-Maxwell-dilaton-axion gravity

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

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