Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2002-12-09
Annals Phys. 304 (2003) 128-144
Physics
High Energy Physics
High Energy Physics - Theory
21 pages, LaTeX, refs. added, final version to appear in Annals Phys
Scientific paper
10.1016/S0003-4916(03)00008-3
We investigate the asymptotic dynamics of topological anti-de Sitter supergravity in two dimensions. Starting from the formulation as a BF theory, it is shown that the AdS_2 boundary conditions imply that the asymptotic symmetries form a super-Virasoro algebra. Using the central charge of this algebra in Cardy's formula, we exactly reproduce the thermodynamical entropy of AdS_2 black holes. Furthermore, we show that the dynamics of the dilaton and its superpartner reduces to that of superconformal transformations that leave invariant one chiral component of the stress tensor supercurrent of a two-dimensional conformal field theory. This dynamics is governed by a supersymmetric extension of the de Alfaro-Fubini-Furlan model of conformal quantum mechanics. Finally, two-dimensional de Sitter gravity is also considered, and the dS_2 entropy is computed by counting CFT states.
Astorino Marco
Cacciatori Sergio
Klemm Dietmar
Zanon Daniela
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