Isometry-preserving boundary conditions in the Kerr/CFT correspondence

Details Isometry-preserving boundary conditions in the Kerr/CFT correspondence Isometry-preserving boundary conditions in the Kerr/CFT correspondence

2009-08-03

arxiv.org/abs/0908.0184v3

Int.J.Mod.Phys.A25:1597-1613,2010

Physics

High Energy Physics

High Energy Physics - Theory

16 pages, v3: comments and references added

Scientific paper

10.1142/S0217751X10048986

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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