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arXiv · hep-th/0009185

AdS_2 Gravity as Conformally Invariant Mechanical System

M. Cadoni·P. Carta·D. Klemm·S. Mignemi
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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.

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M. Cadoni, P. Carta, D. Klemm, S. Mignemi. 2001-05-03. AdS_2 Gravity as Conformally Invariant Mechanical System. https://doi.org/10.1103/physrevd.63.125021

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