The Kerr/CFT correspondence and string theory

被引:62
作者
Azeyanagi, Tatsuo [1 ]
Ogawa, Noriaki [2 ]
Terashima, Seiji [2 ]
机构
[1] Kyoto Univ, Dept Phys, Kyoto 6068502, Japan
[2] Kyoto Univ, Yukawa Inst Theoret Phys, Kyoto 6068502, Japan
来源
PHYSICAL REVIEW D | 2009年 / 79卷 / 10期
基金
日本学术振兴会;
关键词
CONFORMAL FIELD-THEORY; LOCAL BRST COHOMOLOGY; BLACK-HOLE ENTROPY; ASYMPTOTIC SYMMETRIES; CONSERVATION-LAWS; HORIZON; CHARGES;
D O I
10.1103/PhysRevD.79.106009
中图分类号
P1 [天文学];
学科分类号
0704 ;
摘要
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(2) 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 Breckenridge-Myers-Peet-Vafa black holes, and obtain the correct entropies for the black holes microscopically. These have an AdS(3) structure in the near horizon geometry and an AdS(2) structure in the very near horizon geometry. We identified one of the two Virasoro symmetries in the nonchiral CFT2 dual to the AdS(3), i.e., in the AdS(3)/CFT2, with the Virasoro symmetry in the chiral CFT2 dual to the AdS(2), 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.
引用
收藏
页数:14
相关论文
共 64 条
[1]   STABILITY OF GRAVITY WITH A COSMOLOGICAL CONSTANT [J].
ABBOTT, LF ;
DESER, S .
NUCLEAR PHYSICS B, 1982, 195 (01) :76-96
[2]   Asymptotic conservation laws in classical field theory [J].
Anderson, IM ;
Torre, CG .
PHYSICAL REVIEW LETTERS, 1996, 77 (20) :4109-4113
[3]   Stationary black holes and attractor mechanism [J].
Astefanesei, Dumitru ;
Yavartanoo, Hossein .
NUCLEAR PHYSICS B, 2008, 794 (1-2) :13-27
[4]  
AZEYANAGI T, ARXIV08114177
[5]   Near extremal black hole entropy as entanglement entropy via AdS2/CFT1 [J].
Azeyanagi, Tatsuo ;
Nishioka, Tatsuma ;
Takayanagi, Tadashi .
PHYSICAL REVIEW D, 2008, 77 (06)
[6]  
Bardeen J, 1999, PHYS REV D, V60, DOI 10.1103/PhysRevD.60.104030
[7]   Boundary charges in gauge theories: using Stokes theorem in the bulk [J].
Barnich, G .
CLASSICAL AND QUANTUM GRAVITY, 2003, 20 (16) :3685-3697
[8]   Covariant theory of asymptotic symmetries, conservation laws and central charges [J].
Barnich, G ;
Brandt, F .
NUCLEAR PHYSICS B, 2002, 633 (1-2) :3-82
[9]   LOCAL BRST COHOMOLOGY IN THE ANTIFIELD FORMALISM .1. GENERAL THEOREMS [J].
BARNICH, G ;
BRANDT, F ;
HENNEAUX, M .
COMMUNICATIONS IN MATHEMATICAL PHYSICS, 1995, 174 (01) :57-91
[10]   Local BRST cohomology in gauge theories [J].
Barnich, G ;
Brandt, F ;
Henneaux, M .
PHYSICS REPORTS-REVIEW SECTION OF PHYSICS LETTERS, 2000, 338 (05) :439-569