Another realization of Kerr/CFT correspondence

Matsuo, Yohtaro; Tsukioka, Takuya; Yoo, Chul-Moon

doi:10.1016/j.nuclphysb.2009.09.025

Cited by 79 publications

(101 citation statements)

References 31 publications

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“…Fortunately our implementation of AdS 2 quantum gravity is meaningful intrinsically in 2D -consistency with AdS 3 is ultimately for guidance and validation only. Applying our results to near extreme Kerr black hole we recover the central charge c = 12J that was previously computed using other methods [18] (see also [19,20,21] ). We also determine the relation between excitation energy and conformal weight.…”

Section: Introductionsupporting

confidence: 65%

Three dimensional origin of AdS 2 quantum gravity

Castro

Keeler

Larsen

2010

J. High Energ. Phys.

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We study AdS 2 quantum gravity with emphasis on consistency with results from AdS 3 .We lift AdS 2 black holes to three dimensions and map fluctuations around the solutions.Comparison with near extremal BTZ are discussed, with due emphasis on global aspects.The results confirm that parameters like central charges and conformal weights computed directly in 2D are consistent with standard results in 3D. Applying our results to the thermodynamics of near extreme Kerr black holes, we show that AdS 2 quantum gravity gives the correct central charge c = 12J, and the entropy of excitations above the extremal limit is captured correctly.

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Section: Introductionsupporting

confidence: 65%

Three dimensional origin of AdS 2 quantum gravity

Castro

Keeler

Larsen

2010

J. High Energ. Phys.

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“…Besides the set of boundary conditions suggested in [1], another set of consistent boundary conditions was proposed in [6], which may describe the fluctuations of the extreme background and suggest that there exist a right-moving sector in the dual CFT.…”

Section: Introductionmentioning

confidence: 99%

Novel CFT duals for extreme black holes

Chen

Zhang

2012

Nuclear Physics B

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In this paper, we study the CFT duals for extreme black holes in the stretched horizon formalism. We consider the extremal RN, Kerr-Newman-AdS-dS, as well as the higher dimensional Kerr-AdS-dS black holes. In all these cases, we reproduce the well-established CFT duals. Actually we show that for stationary extreme black holes, the stretched horizon formalism always gives rise to the same dual CFT pictures as the ones suggested by ASG of corresponding near horizon geometries. Furthermore, we propose new CFT duals for 4D Kerr-Newman-AdS-dS and higher dimensional Kerr-AdS-dS black holes. We find that every dual CFT is defined with respect to a rotation in certain angular direction, along which the translation defines a U (1) Killing symmetry. In the presence of two sets of U (1) symmetry, the novel CFT duals are generated by the modular group SL(2, Z), and for n sets of U (1) symmetry there are general CFT duals generated by T-duality group SL(n, Z). *

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“…It was pointed out that there is actually a right-moving sector with the same central charge [7,8]. But the excitations are suppressed in the extreme limit.…”

Section: Introductionmentioning

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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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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Another realization of Kerr/CFT correspondence

Cited by 79 publications

References 31 publications

Three dimensional origin of AdS 2 quantum gravity

Three dimensional origin of AdS 2 quantum gravity

Novel CFT duals for extreme black holes

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

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