The Kerr/CFT Correspondence and String Theory

Details The Kerr/CFT Correspondence and String Theory The Kerr/CFT Correspondence and String Theory

2008-12-30

arxiv.org/abs/0812.4883v3

Phys.Rev.D79:106009,2009

Physics

High Energy Physics

High Energy Physics - Theory

30 pages, LaTeX; v2: minor corrections, references added, discussions corrected and clarified, v3: minor corrections, referenc

Scientific paper

10.1103/PhysRevD.79.106009

The Kerr/CFT correspondence is a holographic duality between a two dimensional chiral conformal field theory (CFT) and the very near horizon limit of an extremal black hole, which includes an AdS2 structure. To understand the dual chiral CFT2, we apply the Kerr/CFT correspondence to a certain class of black holes embedded in string theory, which include the D1-D5-P and the BMPV black holes, and obtain the correct entropies for the black holes microscopically. These have an AdS3 structure in the near horizon geometry and an AdS2 structure in the very near horizon geometry. We identified one of the two Virasoro symmetries in the nonchiral CFT2 dual to the AdS3, i.e. in the AdS3/CFT2, with the Virasoro symmetry in the chiral CFT2 dual to the AdS2, i.e. in the Kerr/CFT correspondence. We also discuss a way to understand the chiral CFT2 dual to generic extremal black holes. A kind of universality for the very near horizon geometries of extremal black holes will be important for the validity of the Kerr/CFT correspondence. Based on this analysis, we propose that the Kerr/CFT correspondence can be understood as a decoupling limit in which only the ground states remain.

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