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

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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“…In fact we have found that the general picture can be set up from the hidden conformal symmetry of the generic non-extreme black holes [34].…”

Section: Conclusion and Discussionmentioning

confidence: 92%

Novel CFT duals for extreme black holes

Chen

Zhang

2012

Nuclear Physics B

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“…This gives two inequivalent ways of realizing the hidden conformal symmetry. In the context of Kerr/CFT this was first discussed in [30,31]; see also [32,33,34,27,35] and references therein. The central charge associated to the φ circle is…”

Section: A Myers-perry Black Holementioning

confidence: 99%

Black hole monodromy and conformal field theory

et al. 2013

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The analytic structure of solutions to the Klein-Gordon equation in a black hole background, as represented by monodromy data, is intimately related to black hole thermodynamics. It encodes the "hidden conformal symmetry" of a non-extremal black hole, and it explains why features of the inner event horizon appear in scattering data such as greybody factors. This indicates that hidden conformal symmetry is generic within a universality class of black holes.

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“…In order to read this picture, one just needs to turn off other charges in the thermodynamics law and find the information of dual CFT straightforwardly. Moreover, it was proposed in [25,34,35] that if there exit n charges except the mass, besides the n elementary CFT pictures there will be generic pictures generated by SL(n, Z) transformations acting on the elementary pictures. The SL(n, Z) group could be identified as a subgroup of T-duality group O(n, n, Z) [34], but it could include the electromagnetic duality, i.e.…”

Section: Introductionmentioning

confidence: 99%

“…The thermodynamics method has been checked in [23] for many well-established black hole/CFT correspondences, including three-dimensional (3D) BTZ, four-dimensional (4D) Kerr-Newman and fivedimensional (5D) Myers-Perry black holes [25,26,[32][33][34][35][36][37][38], and has also been applied to the study of holographic descriptions of black rings [23,39]. One interesting question is to understand the relation between the thermodynamics method and other conventional ways in establishing the black hole/CFT correspondence.…”

Section: Introductionmentioning

confidence: 99%

Note on thermodynamics method of black hole/CFT correspondence

Chen

Zhao

Zhang

2013

J. High Energ. Phys.

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In the paper we further refine the thermodynamics method of black hole/CFT correspondence. We show that one can derive the central charges of different holographic pictures directly from the entropy product S+S− if it is mass-independent, for a black hole in the Einstein gravity or the gravity without diffeomorphism anomaly. For a general black hole in the Einstein gravity that admits holographic descriptions, we show that the thermodynamics method and asymptotic symmetry group (ASG) analysis can always give consistent results in the extreme limit. Furthermore, we discuss the relation between black hole thermodynamics and the hidden conformal symmetry. We show that the condition T+A+ = T−A−, with A± being the outer and inner horizon areas, is the necessary, but not sufficient, condition for a black hole to have the hidden conformal symmetry. In particular, for the Einstein(-Maxwell) gravity T+A+ = T−A− is just the condition T+S+ = T−S−, with S± being the outer and inner horizon entropies, which is the condition for the entropy product S+S− being mass-dependent. When there exists the hidden conformal symmetry in the low-frequency scattering off the generic non-extremal black hole, it always leads to the same temperatures of dual CFT as the ones got from the thermodynamics method. *

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

Cited by 21 publications

References 58 publications

Novel CFT duals for extreme black holes

Novel CFT duals for extreme black holes

Black hole monodromy and conformal field theory

Note on thermodynamics method of black hole/CFT correspondence

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