AdS_2 Gravity as Conformally Invariant Mechanical System

Abstract

We show that two-dimensional (2D) AdS gravity induces on the spacetime boundary a conformally invariant dynamics that can be described in terms of a de Alfaro-Fubini-Furlan model coupled to an external source with conformal dimension two. The external source encodes the information about the gauge symmetries of the 2D gravity system. Alternatively, there exists a description in terms of a mechanical system with anholonomic constraints. The considered systems are invariant under the action of the conformal group generated by a Virasoro algebra, which occurs also as asymptotic symmetry algebra of two-dimensional anti-de Sitter space. We calculate the central charge of the algebra and find perfect agreement between statistical and thermodynamical entropy of AdS_2 black holes.

10 pages, Latex. v2: footnote and reference added. v3: final version to appear in PRD

References in corpus (8)

• Large N Field Theories, String Theory and Gravity
• Asymptotic symmetries of AdS_2 and conformal group in d=1
• AdS${}_2$/CFT${}_1$ correspondence and near-extremal black hole entropy
• Superconformal Multi-Black Hole Quantum Mechanics
• w_{\infty} Algebras, Conformal Mechanics, and Black Holes
• Symmetry Breaking, Central Charges and the AdS_2/CFT_1 Correspondence
• Open strings, 2D gravity and AdS/CFT correspondence
• Action, Hamiltonian and CFT for 2D black holes

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