Abstract
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 structure. To understand the dual chiral , 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 Breckenridge-Myers-Peet-Vafa black holes, and obtain the correct entropies for the black holes microscopically. These have an structure in the near horizon geometry and an structure in the very near horizon geometry. We identified one of the two Virasoro symmetries in the nonchiral dual to the , i.e., in the , with the Virasoro symmetry in the chiral dual to the , i.e., in the Kerr/CFT correspondence. We also discuss a way to understand the chiral 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.
- Received 23 January 2009
DOI:https://doi.org/10.1103/PhysRevD.79.106009
©2009 American Physical Society