AdS_2 Gravity as Conformally Invariant Mechanical System

Details AdS_2 Gravity as Conformally Invariant Mechanical System AdS_2 Gravity as Conformally Invariant Mechanical System

2000-09-23

arxiv.org/abs/hep-th/0009185v3

Phys.Rev. D63 (2001) 125021

Physics

High Energy Physics

High Energy Physics - Theory

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

Scientific paper

10.1103/PhysRevD.63.125021

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.

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