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

被引：146

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.

引用

页数：17

共 56 条

[1] Large N field theories, string theory and gravity [J].

Aharony, O ;

Gubser, SS ;

Maldacena, J ;

Ooguri, H ;

Oz, Y .

PHYSICS REPORTS-REVIEW SECTION OF PHYSICS LETTERS, 2000, 323 (3-4) :183-386

[2] Stationary black holes and attractor mechanism [J].

Astefanesei, Dumitru ;

Yavartanoo, Hossein .

NUCLEAR PHYSICS B, 2008, 794 (1-2) :13-27

[3] Rotating attractors [J].

Astefanesei, Dumitru ;

Goldstein, Kevin ;

Jena, Rudra P. ;

Sen, Ashoke ;

Trivedi, Sandip P. .

JOURNAL OF HIGH ENERGY PHYSICS, 2006, (10)

[4] Beyond the veil: Inner horizon instability and holography [J].

Balasubramanian, V ;

Levi, TS .

PHYSICAL REVIEW D, 2004, 70 (10) :106005-1

[5] BLACK-HOLE IN 3-DIMENSIONAL SPACETIME [J].

BANADOS, M ;

TEITELBOIM, C ;

ZANELLI, J .

PHYSICAL REVIEW LETTERS, 1992, 69 (13) :1849-1851

[6] GEOMETRY OF THE 2+1 BLACK-HOLE [J].

BANADOS, M ;

HENNEAUX, M ;

TEITELBOIM, C ;

ZANELLI, J .

PHYSICAL REVIEW D, 1993, 48 (04) :1506-1525

[7]

Bardeen J, 1999, PHYS REV D, V60, DOI 10.1103/PhysRevD.60.104030

[8] QUANTUM SOURCE OF ENTROPY FOR BLACK-HOLES [J].

BOMBELLI, L ;

KOUL, RK ;

LEE, J ;

SORKIN, RD .

PHYSICAL REVIEW D, 1986, 34 (02) :373-383

[9]

BRITTOPACUMIO R, ARXIVHEPTH9911066

[10] CENTRAL CHARGES IN THE CANONICAL REALIZATION OF ASYMPTOTIC SYMMETRIES - AN EXAMPLE FROM 3-DIMENSIONAL GRAVITY [J].

BROWN, JD ;

HENNEAUX, M .

COMMUNICATIONS IN MATHEMATICAL PHYSICS, 1986, 104 (02) :207-226

← 1 2 3 4 5 6 →