Asymptotic structure of topologically massive gravity in spacelike stretched AdS sector

Abstract

We introduce a natural set of asymptotic conditions in the spacelike stretched AdS sector of topologically massive gravity. The Poisson bracket algebra of the canonical generators is shown to have the form of the semi-direct sum of a $u(1)$ Kac-Moody and a Virasoro algebra, with central charges. Using the Sugawara construction, we prove that the asymptotic symmetry coincides with the conformal symmetry, described by two independent Virasoro algebras with central charges. The result is in complete agreement with the hypothesis made in [6].

LATEX, 19 pages; v2: minor errors corrected, one reference added

References in corpus (5)

• Warped AdS_3 Black Holes
• 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
• Canonical structure of topologically massive gravity with a cosmological constant

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• The Curious Case of Null Warped Space
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• Real-time correlators in warped AdS/CFT correspondence
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• Aspects of Warped AdS${}_3$/CFT${}_2$ Correspondence
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• Hidden Conformal Symmetry of Warped AdS_3 Black Holes
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• Quasinormal Modes of Self-Dual Warped AdS${}_3$ Black Hole in Topological Massive Gravity
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• Gravity duals for logarithmic conformal field theories
• Conserved charges in 3D gravity
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• New Chiral Gravity
• 2+1 Quantum Gravity with Barbero-Immirzi like parameter on Toric Spatial Foliation
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• New Chiral Generalized Minimal Massive Gravity
• Asymptotic Chern-Simons formulation of spacelike stretched AdS gravity
• Warped CFT duals of the Plebański-Demiański family of solutions
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• Near horizon symmetry of extremal spacelike-stretched black holes
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