On the general Kerr/CFT correspondence in arbitrary dimensions

Mei, Jianwei

doi:10.1007/jhep04(2012)113

Cited by 7 publications

(10 citation statements)

References 38 publications

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“…One of the most important supports is that the Cardy microstate degeneracy on the CFT side precisely matched the Bekenstein Hawking entropy. And such correspondence was soon generalized to various extremal or near-extremal black holes [11][12][13][14][15][16][17][18][19][20][21][22][23][24][25].…”

Section: Introductionmentioning

confidence: 99%

Hidden conformal symmetry for vector field on various black hole backgrounds

Shi

Zhang

Mei

2018

J. High Energ. Phys.

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Hidden conformal symmetries of scalar field on various black hole backgrounds have been investigated for years, but whether those features hold for other fields are still open questions. Recently, with proper assumptions, Lunin achieved to the separation of variables for Maxwell equations on Kerr background. In this paper, with that equation, we find that hidden conformal symmetry appears at near region under low frequency limit. We also extended those results to vector field on the more general Kerr-NUT-(A)dS background, then hidden conformal symmetry also appears if we focusing on the near-horizon region at low frequency limit.

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Section: Introductionmentioning

confidence: 99%

Hidden conformal symmetry for vector field on various black hole backgrounds

Shi

Zhang

Mei

2018

J. High Energ. Phys.

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“…[33][34][35][36][37][38][39][40][41][42] for a sample). In a similar way, rotating uncharged black holes (either in asymptotically flat or AdS spacetimes) have attracted a lot of attention in connection with the Kerr/CFT correspondence [43][44][45][46][47] (see also [48] and references therein). On the other hand, while the geometric and thermodynamic equilibrium properties of rotating charged black holes have been well studied since the discovery of the Kerr-Newman solution [49], the decoupling of the gravitational and electromagnetic perturbation equations for these black holes remains as a long-standing open problem in general relativity theory [50][51][52].…”

Section: Introductionmentioning

confidence: 99%

Separable wave equations for gravitoelectromagnetic perturbations of rotating charged black strings

Miranda¹,

Morgan²,

Kandus³

et al. 2015

Class. Quantum Grav.

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Abstract.Rotating charged black strings are exact solutions of four-dimensional EinsteinMaxwell equations with a negative cosmological constant and a non-trivial spacetime topology. According to the AdS/CFT correspondence, these black strings are dual to rotating thermal states of a strongly interacting quantum field theory with nonzero chemical potential that lives in a cylinder. The dynamics of linear fluctuations in the dual field theory can be studied from the perturbation equations for classical fields in a black-string spacetime. With this motivation in mind, we develop here a completely gauge and tetrad invariant perturbation approach to deal with the gravitoelectromagnetic fluctuations of rotating charged black strings in the presence of sources. As usual, for any charged black hole, a perturbation in the background electromagnetic field induces a metric perturbation and vice versa. In spite of this coupling and the non-vanishing angular momentum, we show that linearization of equations of the Newman-Penrose formalism leads to four separated second-order complex equations for suitable combinations of the spin coefficients, the Weyl and the Maxwell scalars. Then, we generalize the Chandrasekhar transformation theory by the inclusion of sources and apply it to reduce the perturbation problem to four decoupled inhomogeneous wave equations -a pair for each sector of perturbations. The radial part of such wave equations can be put into Schrödinger-like forms after Fourier transforming them with respect to time. We find that the resulting effective potentials form two pairs of supersymmetric partner potentials and, as a consequence, the fundamental variables of one perturbation sector are related to the variables of the other sector. The relevance of such a symmetry in connection to the AdS/CFT correspondence is discussed, and future applications of the pertubation theory developed here are outlined.

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“…More details of the metric can be found in [10]. Note that (1) is easily recovered by taking the near horizon limit of the above metric for extremal black holes.…”

Section: Conformal Symmetries For Non-extremal Black Holesmentioning

confidence: 99%

“…One of our main result is that, just like for extremal black holes [7,8], in the non-extremal case there is also an independent copy of Virasoro algebra for each non-vanishing angular momentum, and each Virasoro algebra is equally good in reproducing the Bekenstein-Hawking entropy. But for non-extremal black holes, the result is off by a factor of 2 [10]. We wish to resolve this problem in the near future.…”

Section: Conformal Symmetries For Non-extremal Black Holesmentioning

confidence: 99%

“…Just like in [4], one can impose boundary conditions on the horizon and also recover the conformal symmetries. In [10], this was carried out for general stationary and axisymmetric black holes in generic dimensions. Similarly to the extremal case, this was made possible by identifying the common form of all the relevant metrics,…”

Section: Conformal Symmetries For Non-extremal Black Holesmentioning

confidence: 99%

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