Holographic RG flow dual to attractor flow in extremal black holes

In this paper, we suggest that there are two different individual two-dimensional conformal field theories (CFTs) holographically dual to the Kerr-Newman black hole, coming from the corresponding two possible limits-the Kerr/CFT and Reissner-Nordström/CFT correspondences, namely, there exist the Kerr-Newman/CFTs dualities. A probe scalar field at low frequencies turns out can exhibit two different two-dimensional conformal symmetries (named by J and Q pictures, respectively) in its equation of motion when the associated parameters are suitably specified. These twofold dualities are supported by the matchings of entropies, absorption cross sections, and real-time correlators computed from both the gravity and the CFT sides. Our results lead to a fascinating ''microscopic hair conjecture''-for each macroscopic hair parameter, in addition to the mass of a black hole in the Einstein-Maxwell theory, there should exist an associated holographic CFT 2 description.

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“…At these frequencies, the retarded Green function precisely agrees with the gravity side computation (33) up to a numerical normalization factor.…”

Section: Real-time Correlatorsupporting

confidence: 65%

Twofold hidden conformal symmetries of the Kerr-Newman black hole

et al. 2010

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“…While this paper was being completed, refs. [39,40] appeared that are related with the present work. In [39] it was also proposed that the Kerr/CFT correspondence can be applied to a general class of extremal black hole solutions.…”

Section: Note Addedsupporting

confidence: 70%

“…In [39] it was also proposed that the Kerr/CFT correspondence can be applied to a general class of extremal black hole solutions. In [40] it was also pointed out a possible connection between Kerr/CFT correspondence and the attractor mechanism.…”

Section: Note Addedmentioning

confidence: 98%

CFT duals for attractor horizons

Astefanesei

Srivastava

2009

Nuclear Physics B

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In this paper we generalize the results of [1] to 5-dimensional Anti-de Sitter gravity theories with neutral scalars non-minimally coupled to gauge fields. Due to the attractor mechanism, the near horizon geometry of extremal black holes is universal and is determined by only the charge parameters. In particular, we study a class of near horizon geometries that contain an AdS 2 × S 2 factor after Kaluza-Klein reduction. In this way we obtain the microscopic entropy of Gutowski-Reall black hole. We also point out a possible connection with the AdS 2 /CF T

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“…Derivation of non-supersymmetric attractors in certain class of models in terms of the extremization of a fake superpotential has been proposed [42,43]. This prescription has helped in finding the full flow in a number of examples [44][45][46][47][48][49][50][51][52][53][54][55][56][57]. The generalization of the attractor mechanism to black holes in anti-deSitter as well as deSitter spaces has also been carried out [58][59][60][61][62][63][64].…”

Section: Introductionmentioning

confidence: 99%

On the stability of non-supersymmetric quantum attractors in string theory

Dominic

Tripathy

2011

J. High Energ. Phys.

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We study four dimensional non-supersymmetric attractors in type IIA string theory in the presence of sub-leading corrections to the prepotential. For a given Calabi-Yau manifold, the D0 − D4 system admits an attractor point in the moduli space which is uniquely specified by the black hole charges. The perturbative corrections to the prepotential do not change the number of massless directions in the black hole effective potential. We further study non-supersymmetric D0 − D6 black holes in the presence of sub-leading corrections. In this case the space of attractor points define a hypersurface in the moduli space. *

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Holographic RG flow dual to attractor flow in extremal black holes

Cited by 10 publications

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Twofold hidden conformal symmetries of the Kerr-Newman black hole

Twofold hidden conformal symmetries of the Kerr-Newman black hole

CFT duals for attractor horizons

On the stability of non-supersymmetric quantum attractors in string theory

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