Dynamics of Asymptotic Diffeomorphisms in (2+1)-Dimensional Gravity

Abstract

In asymptotically anti-de Sitter gravity, diffeomorphisms that change the conformal boundary data can be promoted to genuine physical degrees of freedom. I show that in 2+1 dimensions, the dynamics of these degrees of freedom is described by a Liouville action, with the correct central charge to reproduce the entropy of the BTZ black hole.

8 pages, LaTeX; v2: slightly expanded discussion of implications, more references; v3: more explicit comparison to Chern-Simons approach and discussion of role of constraints; v4: added discussion of relationships to and differences with earlier work, new and corrected references

References in corpus (3)

• Quantum Gravity in 2+1 Dimensions: The Case of a Closed Universe
• Horizon constraints and black hole entropy
• Horizon Constraints and Black Hole Entropy

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