Hopfing and Puffing Warped Anti-de Sitter Space

Abstract

Three dimensional spacelike warped anti-de Sitter space is studied in the context of Einstein theories of gravity and string theory, where there is no gravitational Chern-Simons term in the action. We propose that it is holographically dual to a two-dimensional conformal field theory with equal left and right moving central charges. Various checks of the central charges are offered, based on the Bekenstein-Hawking entropy of the stretched warped black holes and warped self-dual solutions. The proposed central charges are applied to compute the Bekenstein-Hawking entropy of the Hopf T-dual of six-dimensional dyonic black strings which have a near horizon consisting of three dimensional warped anti-de Sitter space times a three-sphere. We find that the Hopf T-duality is a map between thermal states with equal entropy of the CFTs dual to the dyonic black string and the Hopf T-dualized black string.

24 pages; v3. Minor modifications in the text

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Cited by in corpus (42)

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• Warped AdS3/Dipole-CFT Duality
• Entanglement Entropy in Warped Conformal Field Theories
• Modifications to Holographic Entanglement Entropy in Warped CFT
• Quasi-normal modes of warped black holes and warped AdS/CFT correspondence
• Stability of warped AdS3 vacua of topologically massive gravity
• The Spectrum of Strings on Warped AdS_3 x S^3
• Microscopic Realization of the Kerr/CFT Correspondence
• Sailing from Warped AdS_3 to Warped dS_3 in Topologically Massive Gravity
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• Complexity and action for warped AdS black holes
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• Warped anti-de Sitter spaces from brane intersections in type II string theory
• String Theory on Warped AdS_3 and Virasoro Resonances
• Warped Entanglement Entropy
• Holography For a De Sitter-Esque Geometry
• Quasinormal modes of warped $Ad{S}_3$ black holes and AdS/CFT correspondence
• Volume and complexity for warped AdS black holes
• Supersymmetric Warped AdS in Extended Topologically Massive Supergravity
• Warped Black Holes in Lower-Spin Gravity
• Charged Quantum Fields in AdS${}_2$
• String theories on warped AdS backgrounds and integrable deformations of spin chains
• Complexity of warped conformal field theory
• Warped AdS_5 Black Holes and Dual CFTs
• Subsystem complexity in warped AdS
• 2D Gravity on $Ad{S}_2$ with Chern-Simons Corrections
• Warped-AdS3 black holes with scalar halo
• Quasinormal modes of a scalar perturbation coupling with Einstein's tensor in the warped $Ad{S}_3$ black hole spacetime
• Conserved charges in timelike Warped-AdS${}_3$ spaces
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• Stability of warped AdS3 black holes in Topologically Massive Gravity under scalar perturbations
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• Gaussian null coordinates, near-horizon geometry and conserved charges on the horizon of extremal non-dilatonic black $p$-branes
• Attractor horizons in six-dimensional type IIB supergravity
• A Selberg zeta function for warped AdS${}_3$ black holes
• Critical points of WAdS/CFT and higher-curvature gravity
• Developments in non-relativistic field theory and complexity
• Conformal Quivers and Melting Molecules