Near extremal black hole entropy as entanglement entropy via AdS2/CFT1

被引:144
|
作者
Azeyanagi, Tatsuo [1 ]
Nishioka, Tatsuma [1 ]
Takayanagi, Tadashi [1 ]
机构
[1] Kyoto Univ, Dept Phys, Kyoto 6068502, Japan
来源
PHYSICAL REVIEW D | 2008年 / 77卷 / 06期
关键词
D O I
10.1103/PhysRevD.77.064005
中图分类号
P1 [天文学];
学科分类号
0704 ;
摘要
We point out that the entropy of ( near) extremal black holes can be interpreted as the entanglement entropy of dual conformal quantum mechanics via AdS(2)/CFT1. As an explicit example, we study near extremal Banados- Teitelboim- Zanelli black holes and derive this claim from AdS(3)/CFT2. We also analytically compute the entanglement entropy in the two dimensional CFT of a free Dirac fermion compactified on a circle at finite temperature. From this result, we clarify the relation between the thermal entropy and entanglement entropy, which is essential for the entanglement interpretation of black hole entropy.
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页数:17
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