Holographic entropy of Warped-AdS<inf>3</inf> black holes

Abstract: We study the asymptotic symmetries of three-dimensional Warped Anti-de Sitter (WAdS) spaces in three-dimensional New Massive Gravity (NMG). For a specific choice of asymptotic boundary conditions, we find that the algebra of charges is infinite dimensional and coincides with the semidirect...

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Detalles Bibliográficos
Publicado: 2015
Materias:
AdS-CFT Correspondence
Black Holes
Conformal and W Symmetry
Acceso en línea:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_11266708_v2015_n6_p_Donnay
http://hdl.handle.net/20.500.12110/paper_11266708_v2015_n6_p_Donnay
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Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires
id paper:paper_11266708_v2015_n6_p_Donnay
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spelling paper:paper_11266708_v2015_n6_p_Donnay2023-06-08T16:08:41Z Holographic entropy of Warped-AdS<inf>3</inf> black holes AdS-CFT Correspondence Black Holes Conformal and W Symmetry Abstract: We study the asymptotic symmetries of three-dimensional Warped Anti-de Sitter (WAdS) spaces in three-dimensional New Massive Gravity (NMG). For a specific choice of asymptotic boundary conditions, we find that the algebra of charges is infinite dimensional and coincides with the semidirect sum of Virasoro algebra with non-vanishing central charge and an affine û(1)<inf>k</inf> Kač-Moody algebra. We show that the WAdS black hole configurations organize in terms of two commuting Virasoro algebras. We identify the Virasoro generators that expand the associated representations in the dual Warped Conformal Field Theory (WCFT) and, by applying the Warped version of the Cardy formula, we prove that the microscopic WCFT computation exactly reproduces the entropy of black holes in WAdS space. © 2015, The Author(s). 2015 https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_11266708_v2015_n6_p_Donnay http://hdl.handle.net/20.500.12110/paper_11266708_v2015_n6_p_Donnay
institution Universidad de Buenos Aires
institution_str I-28
repository_str R-134
collection Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA)
topic AdS-CFT Correspondence
Black Holes
Conformal and W Symmetry
spellingShingle AdS-CFT Correspondence
Black Holes
Conformal and W Symmetry
Holographic entropy of Warped-AdS<inf>3</inf> black holes
topic_facet AdS-CFT Correspondence
Black Holes
Conformal and W Symmetry
description Abstract: We study the asymptotic symmetries of three-dimensional Warped Anti-de Sitter (WAdS) spaces in three-dimensional New Massive Gravity (NMG). For a specific choice of asymptotic boundary conditions, we find that the algebra of charges is infinite dimensional and coincides with the semidirect sum of Virasoro algebra with non-vanishing central charge and an affine û(1)<inf>k</inf> Kač-Moody algebra. We show that the WAdS black hole configurations organize in terms of two commuting Virasoro algebras. We identify the Virasoro generators that expand the associated representations in the dual Warped Conformal Field Theory (WCFT) and, by applying the Warped version of the Cardy formula, we prove that the microscopic WCFT computation exactly reproduces the entropy of black holes in WAdS space. © 2015, The Author(s).
title Holographic entropy of Warped-AdS<inf>3</inf> black holes
title_short Holographic entropy of Warped-AdS<inf>3</inf> black holes
title_full Holographic entropy of Warped-AdS<inf>3</inf> black holes
title_fullStr Holographic entropy of Warped-AdS<inf>3</inf> black holes
title_full_unstemmed Holographic entropy of Warped-AdS<inf>3</inf> black holes
title_sort holographic entropy of warped-ads<inf>3</inf> black holes
publishDate 2015
url https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_11266708_v2015_n6_p_Donnay
http://hdl.handle.net/20.500.12110/paper_11266708_v2015_n6_p_Donnay
_version_ 1768546361518587904

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