Aspects of Warped AdS${}_3$/CFT${}_2$ Correspondence

Abstract

In this paper we apply the thermodynamics method to investigate the holographic pictures for the BTZ black hole, the spacelike and the null warped black holes in three-dimensional topologically massive gravity (TMG) and new massive gravity (NMG). Even though there are higher derivative terms in these theories, the thermodynamics method is still effective. It gives consistent results with the ones obtained by using asymptotical symmetry group (ASG) analysis. In doing the ASG analysis we develop a brute-force realization of the Barnich-Brandt-Compere formalism with Mathematica code, which also allows us to calculate the masses and the angular momenta of the black holes. In particular, we propose the warped AdS${}_3$/CFT${}_2$ correspondence in the new massive gravity, which states that quantum gravity in the warped spacetime could holographically dual to a two-dimensional CFT with $c_R=c_L=\f{24}{Gm\b^2\sr{2(21-4\b^2)}}$.

22 pages, references added, published version, link of Mathematica code changed to https://s.yunio.com/Mtus0z or http://pan.baidu.com/s/1mToFv

References in corpus (25)

• Massive Gravity in Three Dimensions
• Warped AdS_3 Black Holes
• More on Massive 3D Gravity
• Surface charge algebra in gauge theories and thermodynamic integrability
• Black hole mass and angular momentum in topologically massive gravity
• Semi-classical central charge in topologically massive gravity
• Black Hole Entropy in the presence of Chern-Simons Terms
• Warped AdS_3 black holes in new massive gravity
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• BTZ Black Hole with Chern-Simons and Higher Derivative Terms
• Note on New Massive Gravity in $Ad{S}_3$
• Inner Mechanics of 3d Black Holes
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• Thermodynamics of Black Hole Horizons and Kerr/CFT Correspondence
• Mass and Angular momentum of Black Holes in New Massive Gravity
• The Curious Case of Null Warped Space
• Note on Thermodynamics Method of Black Hole/CFT Correspondence
• Hidden Conformal Symmetry of Extremal Black Holes
• Hidden Conformal Symmetry and Quasi-normal Modes
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• Holographic Descriptions of Black Rings
• Electromagnetic Duality in Dyonic RN/CFT Correspondence
• RN/CFT Correspondence From Thermodynamics
• Quasi-normal Modes of Extremal Black Holes from Hidden Conformal Symmetry

Cited by in corpus (18)

• A new approach toward geometrical concept of black hole thermodynamics
• On the Universality of Inner Black Hole Mechanics and Higher Curvature Gravity
• Quasilocal Conserved Charges with a Gravitational Chern-Simons Term
• Conditions on holographic entangling surfaces in higher curvature gravity
• Phase Transitions in Warped AdS${}_3$ Gravity
• Warped AdS_3 Black Holes in Higher Derivative Gravity Theories
• The Entropy Sum of (A)dS Black Holes in Four and Higher Dimensions
• Complexity and Emergence of Warped ${\text{AdS}}_3$ Space-time from Chiral Liouville Action
• Thermodynamic relations for entropy and temperature of multi-horizons black holes
• Hot Attractors
• Particle collisions near a three-dimensional warped AdS black hole
• $SL(2,R)\times U(1)$ symmetry and quasinormal modes in the self-dual warped AdS black hole
• Asymptotic Symmetries of Three-Dimensional Black Strings
• Central charges from Thermodynamics method in 3D gravity
• A Note on Kerr/CFT and Wald Entropy Discrepancy in High Derivative Gravities
• Thermodynamics of two-dimensional conformal field theory dual to black holes
• Universal entropy relations: entropy formulae and entropy bound
• Extended Near Horizon Symmetries of Extremal BTZ Black Holes in 3D Massive Gravity