Central Charge for AdS_2 Quantum Gravity

Abstract

Two-dimensional Maxwell-dilaton quantum gravity on AdS_2 with radius $\ell$ and a constant electric field E is studied. In conformal gauge, this is equivalent to a CFT on a strip. In order to maintain consistent boundary conditions, the usual conformal diffeomorphisms must be accompanied by a certain U(1) gauge transformation. The resulting conformal transformations are generated by a twisted stress tensor, which has a central charge $c=3k{E}^2{\ell }^4/4$ where k is the level of the U(1) current. This is an AdS_2 analog of the Brown-Henneaux formula $c=3\ell /2G$ for the central charge of quantum gravity on AdS_3.

References in corpus (10)

• Holographic Derivation of Entanglement Entropy from AdS/CFT
• Microscopic Origin of the Bekenstein-Hawking Entropy
• AdS2 Quantum Gravity and String Theory
• Black hole thermodynamics and information loss in two dimensions
• Asymptotic symmetries of AdS_2 and conformal group in d=1
• Supersymmetric Rotating Black Holes and Causality Violation
• Entropy of 2D black holes from counting microstates
• AdS${}_2$/CFT${}_1$ correspondence and near-extremal black hole entropy
• Symmetry Breaking, Central Charges and the AdS_2/CFT_1 Correspondence
• The Near-Horizon Limit of the Extreme Rotating d=5 Black Hole as a Homogenous Spacetime

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• New boundary conditions for AdS${}_2$
• Towards a bulk description of higher spin SYK
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• W Symmetry and Integrability of Higher spin black holes
• A note on the complex SYK model and warped CFTs
• Logarithmic Corrections to Kerr Thermodynamics
• Emergent IR dual 2d CFTs in charged AdS5 black holes
• Wiggling Throat of Extremal Black Holes
• String Theory on Warped AdS_3 and Virasoro Resonances
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• Global and local properties of AdS(2) higher spin gravity
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• Vacuum Transitions in Two-Dimensions and their Holographic Interpretation
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• Topologically massive gravity on AdS${}_2$ spacetimes
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• $R^2$ corrected AdS${}_2$ holography
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