The Kerr/CFT correspondence and string theory
- Department of Physics, Kyoto University, Kyoto 606-8502 (Japan)
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 AdS{sub 2} structure. To understand the dual chiral CFT{sub 2}, 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 AdS{sub 3} structure in the near horizon geometry and an AdS{sub 2} structure in the very near horizon geometry. We identified one of the two Virasoro symmetries in the nonchiral CFT{sub 2} dual to the AdS{sub 3}, i.e., in the AdS{sub 3}/CFT{sub 2}, with the Virasoro symmetry in the chiral CFT{sub 2} dual to the AdS{sub 2}, i.e., in the Kerr/CFT correspondence. We also discuss a way to understand the chiral CFT{sub 2} 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.
- OSTI ID:
- 21296396
- Journal Information:
- Physical Review. D, Particles Fields, Vol. 79, Issue 10; Other Information: DOI: 10.1103/PhysRevD.79.106009; (c) 2009 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA); ISSN 0556-2821
- Country of Publication:
- United States
- Language:
- English
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