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arXiv · 0908.0184

Isometry-preserving boundary conditions in the Kerr/CFT correspondence

Jorgen Rasmussen
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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.

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Jorgen Rasmussen. 2009-08-03. Isometry-preserving boundary conditions in the Kerr/CFT correspondence. https://doi.org/10.1142/s0217751x10048986

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