BHT4 - Black Hole Thermodynamics |
Speaker_ |
Lemos, José P. S. |
Co-autors |
Gonçalo A. S. Dias |
Talk _ |
Entropy from conformal horizon states in D-dimensional spherical, toroidal, and hyperbolic anti-de Sitter black holes |
Abstract _ |
The approach developed by Solodukhin is followed. The method consists in a redefinition of the metric by considering the radial coordinate as a scalar field. Then through dimensional reduction one obtains a 2-dimensional scalar field theory, conformal in an infinitesimally small vicinity of the horizon. The conformal symmetry has conserved charges whose gernerators span a classical Poisson algebra of the Virasoro type. Replacing Poisson brackets by commutators, one recovers the usual form of the Virasoro algebra, obtaining the level zero conserved charge eigenvalue Lo, and a nonzero central charge c. The entropy is then obtained via the Cardy formula. |