Semi-classical central charge in topologically massive gravity

Abstract

It is shown that the warped black holes geometries discussed recently in 0807.3040 admit an algebra of asymptotic symmetries isomorphic to the semi-direct product of a Virasoro algebra and an algebra of currents. The realization of this asymptotic symmetry by canonical charges allows one to find the central charge of the Virasoro algebra. The right-moving central charge $c_R=\frac{(5{\hat{\nu }}^2+3)l}{G\hat{\nu }({\hat{\nu }}^2+3)}$ is obtained when the Virasoro generators are normalized in order to have a positive zero mode spectrum for the warped black holes. The current algebra is also shown to be centrally-extended.

major sign mistake in the central charge corrected. Conclusion adapted. Minor typos corrected

References in corpus (28)

• Some Properties of Noether Charge and a Proposal for Dynamical Black Hole Entropy
• Geometry of the 2+1 Black Hole
• Covariant theory of asymptotic symmetries, conservation laws and central charges
• Chiral Gravity in Three Dimensions
• Surface charge algebra in gauge theories and thermodynamic integrability
• Holographic Gravitational Anomalies
• Instability in cosmological topologically massive gravity at the chiral point
• Black hole mass and angular momentum in topologically massive gravity
• The black holes of topologically massive gravity
• Black Hole Entropy in the presence of Chern-Simons Terms
• Topologically Massive AdS Gravity
• Holography with Gravitational Chern-Simons Term
• Boundary charges in gauge theories: using Stokes theorem in the bulk
• Electric/Magnetic Deformations of S^3 and AdS_3, and Geometric Cosets
• Energy in Topologically Massive Gravity
• Asymptotic symmetries on Killing horizons
• Asymptotic conservation laws in field theory
• The Constraint Algebra of Topologically Massive AdS Gravity
• Three-dimensional Chern-Simons black holes
• Exact vacuum solution of a (1+2)-dimensional Poincare gauge theory: BTZ solution with torsion
• Brown-Henneaux's Canonical Approach to Topologically Massive Gravity
• Three dimensional origin of Godel spacetimes and black holes
• Three-dimensional black holes from deformed anti-de Sitter
• BTZ Black Hole with Gravitational Chern-Simons: Thermodynamics and Statistical Entropy
• Topologically Massive Gravity at the Chiral Point is Not Unitary
• Conserved Charges of Higher D Kerr-AdS Spacetimes
• Centrally extended symmetry algebra of asymptotically Goedel spacetimes
• Constraint Dynamics and Gravitons in Three Dimensions

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• Holographic entropy of Warped-AdS${}_3$ black holes
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