Isometry-preserving boundary conditions in the Kerr/CFT correspondence
Abstract
The near-horizon geometries of the extremal Kerr black hole and certain generalizations thereof are considered. Their isometry groups are all given by SL(2,R) x U(1). The usual boundary conditions of the Kerr/CFT correspondence enhance the U(1) isometry to a Virasoro algebra. Various alternatives to these boundary conditions are explored. Partial classifications are provided of the boundary conditions enhancing the SL(2,R) isometries or separately the U(1) isometry to a Virasoro algebra. In the case of SL(2,R)-enhancing boundary conditions of a near-horizon geometry of the type considered, the conserved charges associated to the generators of the asymptotic Virasoro symmetry form a centreless Virasoro algebra.
Keywords
Cite
@article{arxiv.0908.0184,
title = {Isometry-preserving boundary conditions in the Kerr/CFT correspondence},
author = {Jorgen Rasmussen},
journal= {arXiv preprint arXiv:0908.0184},
year = {2010}
}
Comments
16 pages, v3: comments and references added