Real-time correlators in warped AdS/CFT correspondence

Chen, Bin; Ning, Bo; Xu, Zhi-bo

doi:10.1007/jhep02(2010)031

Cited by 44 publications

(58 citation statements)

References 106 publications

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“…The quasinormal modes of scalar, vector and spinor perturbations of the spacelike stretched and the null warped AdS 3 black holes were calculated in [8,9]. Moreover, the retarded Green's functions for scalar and vector fields in the spacelike stretched and the null warped AdS 3 black holes were obtained in [10].…”

Section: Introductionmentioning

confidence: 99%

Quasinormal modes and hidden conformal symmetry of warpeddS3black hole

Chen

Zhang

2011

Phys. Rev. D

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In this paper, we analytically calculate the quasinormal modes of scalar, vector, tensor, and spinor perturbations of the warped dS 3 black hole. There are two horizons for the warped dS 3 black hole, namely, the black hole horizon r b and the cosmological horizon r c . In the calculation, we impose the ingoing boundary condition at the black hole horizon and the outgoing boundary condition at the cosmological horizon. We also investigate the hidden conformal symmetry of the warped dS 3 black hole in the region between the black hole horizon and the cosmological horizon r b < r < r c . We use the hidden conformal symmetry to construct the quasinormal modes in an algebraic way and find that the results agree with the analytically ones. It turns out that the frequencies of the quasinormal modes could be identified with the poles in the thermal boundary-boundary correlators. *

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Section: Introductionmentioning

confidence: 99%

Quasinormal modes and hidden conformal symmetry of warpeddS3black hole

Chen

Zhang

2011

Phys. Rev. D

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“…But for a black hole in gravity theory with diffeomorphism anomaly, its CFT dual has c L = c R , and so S + S − needs to be mass-dependent. Examples are black holes in three-dimensional topologically massive gravity (TMG) [16,17], and the thermodynamics method still applies to these cases [18]. This is in accord with tracing the mass-dependence of S + S − to the diffeomorphism anomaly of the theory [19].…”

Section: Cft From Black Hole Thermodynamicsmentioning

confidence: 77%

Thermodynamics of two-dimensional conformal field theory dual to black holes

Zhang

2014

Physics Letters B

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In this letter we investigate the first law of thermodynamics of the two-dimensional conformal field theory (CFT) that is dual to black holes. We start from the Cardy formula and get the CFT thermodynamics with minimal reasonable assumptions. We use both the microcanonical ensemble and canonical ensemble versions of the Cardy formula. In the black hole/CFT correspondence the black hole is dual to a CFT with excitations, and the black hole mass M and charge N correspond to the energy and charge of the excited CFT. The CFT left-and right-moving central charges c L,R should be quantized, and so we assume that they are mass-independent. Also we assume the difference of the left-and right-moving sector levels N L -N R is mass-independent dual to level matching condition. The thermodynamics of two-dimensional CFT we get is universal and supports the thermodynamics method of black hole/CFT correspondence.

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“…When one find the UER for general black holes, one can built the left/right-moving models in someway, and hence lead to the physical picture for the statistical origin of black holes. The black hole/CFT (BH/CFT) correspondence [17,[69][70][71][72][73][74] open a window for this viewpoint, where the mass-independent entropy product is useful to built the holographic descriptions of black hole entropy, for black hole with two horizons,.…”

Section: Discussionmentioning

confidence: 99%

Entropy relations and bounds of horizons in modified gravity

Liu

Meng

et al. 2017

EPL

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Abstract:We survey the applications of universal entropy relations in black holes with multi-horizons. In sharp distinction to conventional entropy product, the entropy relationship here not only improve our understanding of black hole entropy but was introduced as an elegant technique trick for handling various entropy bounds and sum. Despite the primarily technique role, entropy relations have provided considerable insight into several different types of gravity, including massive gravity, Einstein-Dilaton gravity and Horava-Lifshitz gravity. We present and discuss the results for each one.

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Real-time correlators in warped AdS/CFT correspondence

Cited by 44 publications

References 106 publications

Quasinormal modes and hidden conformal symmetry of warpeddS3black hole

Quasinormal modes and hidden conformal symmetry of warpeddS3black hole

Thermodynamics of two-dimensional conformal field theory dual to black holes

Entropy relations and bounds of horizons in modified gravity

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