Entropy of three-dimensional black holes in string theory

Birmingham, Danny; Sachs, Ivo; Sen, Siddhartha

doi:10.1016/s0370-2693(98)00236-6

Cited by 116 publications

(133 citation statements)

References 26 publications

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“…As observed in [37] the degeneracy of states for a conformal field theory with this central charge gives rise to, under appropriate conditions, exactly the Bekenstein-Hawking entropy for the 2 + 1 black hole (see also [38]). An earlier statistical description of the 2 + 1 black hole entropy was given by Carlip [39] in terms of horizon degrees of freedom.…”

Section: Discussionmentioning

confidence: 65%

Anti–de Sitter–CFT correspondence in three-dimensional supergravity

et al. 1998

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Anti-de Sitter supergravity models are considered in three dimensions. Precise asymptotic conditions involving a chiral projection are given on the Rarita-Schwinger fields. Together with the known boundary conditions on the bosonic fields, these ensure that the asymptotic symmetry algebra is the superconformal algebra. The classical central charge is computed and found to be equal to the one of pure gravity. It is also indicated that the asymptotic degrees of freedom are described by 2D "induced supergravity" and that the boundary conditions "transmute" the non-vanishing components of the WZW supercurrent into the supercharges.2

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Section: Discussionmentioning

confidence: 65%

Anti–de Sitter–CFT correspondence in three-dimensional supergravity

et al. 1998

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“…Notably, such a calculation has been considered for a rotating BTZ black hole [39,40]. Although it would be interesting to compare these results with our derivations, this seems impratical given the complexity of their expressions and the lack of compatibilty with the charged BTZ scenario.…”

Section: Resultsmentioning

confidence: 97%

Radiation via tunnelling in the charged BTZ black hole

Medved

2002

Class. Quantum Grav.

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It is often convenient to view Hawking (black hole) radiation as a process of quantum tunneling. Within this framework, Kraus and Wilczek (KW) have initiated an analytical treatment of black hole emission. Notably, their methodology incorporates the effects of a dynamical black hole geometry. In the current paper, the KW formalism is applied to the case of a charged BTZ black hole. In the context of this interesting model, we are able to demonstrate a non-thermal spectrum, with the usual Hawking result being reproduced at zeroth order in frequency. Considerable attention is then given to the examination of near-extremal thermodynamics.

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“…As Strominger [7] and Birmingham, Sachs, and Sen [8] observed, these conformal weights and the central charges (27) then determine an entropy…”

Section: The Btz Black Holementioning

confidence: 87%

Effective Conformal Descriptions of Black Hole Entropy

Carlip

2011

Entropy

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It is no longer considered surprising that black holes have temperatures and entropies. What remains surprising, though, is the universality of these thermodynamic properties: their exceptionally simple and general form, and the fact that they can be derived from many very different descriptions of the underlying microscopic degrees of freedom. I review the proposal that this universality arises from an approximate conformal symmetry, which permits an effective "conformal dual" description that is largely independent of the microscopic details.

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Entropy of three-dimensional black holes in string theory

Cited by 116 publications

References 26 publications

Anti–de Sitter–CFT correspondence in three-dimensional supergravity

Anti–de Sitter–CFT correspondence in three-dimensional supergravity

Radiation via tunnelling in the charged BTZ black hole

Effective Conformal Descriptions of Black Hole Entropy

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