ANTI-DE SITTER 3-DIMENSIONAL GRAVITY WITH TORSION
Abstract
Using the canonical formalism, we study the asymptotic symmetries of the topological 3-dimensional gravity with torsion. In the anti-de Sitter sector, the symmetries are realized by two independent Virasoro algebras with classical central charges. In the simple case of the teleparallel vacuum geometry, the central charges are equal to each other and have the same value as in general relativity, while in the general Riemann-Cartan geometry, they become different.
Invited talk at Workshop on Quantum Gravity and Noncommutative Geometry, Universidade Lusófona, Lisbon, 20-23 July 2004.