Conformal field theory interpretation of black hole quasinormal modes

被引：403

作者：

Birmingham, D ^{[1
]}

Sachs, I

Solodukhin, SN

机构：

[1] Natl Univ Ireland Univ Coll Dublin, Dept Math Phys, Dublin 4, Ireland

[2] Univ Munich, D-80333 Munich, Germany

来源：

PHYSICAL REVIEW LETTERS | 2002年 / 88卷 / 15期

关键词：

D O I：

10.1103/PhysRevLett.88.151301

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We obtain exact expressions for the quasinormal modes of various spin for the Banados-Teitelboim-Zanelli black hole. These modes determine the relaxation time of black hole perturbations. Exact agreement is found between the quasinormal frequencies and the location of the poles of the retarded correlation function of the corresponding perturbations in the dual conformal field theory. This then provides a new quantitative test of the anti-de Sitter/conformal field theory correspondence.

引用

页数：4

共 20 条

[1] Abramowitz M., 1970, HDB MATH FUNCTIONS
[2] Large N field theories, string theory and gravity
Aharony, O
Gubser, SS
Maldacena, J
Ooguri, H
Oz, Y
[J]. PHYSICS REPORTS-REVIEW SECTION OF PHYSICS LETTERS, 2000, 323 (3-4): : 183 - 386
[3] BLACK-HOLE IN 3-DIMENSIONAL SPACETIME
BANADOS, M
TEITELBOIM, C
ZANELLI, J
[J]. PHYSICAL REVIEW LETTERS, 1992, 69 (13) : 1849 - 1851
[4] Birmingham D, 2001, PHYS REV D, V64, DOI 10.1103/PhysRevD.64.064024
[5] BIRMINGHAM D, HEPTH0102155
[6] Cardoso V, 2001, PHYS REV D, V64, DOI 10.1103/PhysRevD.64.084017
[7] Scaler, electromagnetic, and Weyl perturbations of BTZ black holes: Quasinormal modes
Cardoso, V
Lemos, JPS
[J]. PHYSICAL REVIEW D, 2001, 63 (12): : 6
[8] OPERATOR CONTENT OF TWO-DIMENSIONAL CONFORMALLY INVARIANT THEORIES
CARDY, JL
[J]. NUCLEAR PHYSICS B, 1986, 270 (02) : 186 - 204
[9] Scalar wave falloff in asymptotically anti-de Sitter backgrounds
Chan, JSF
Mann, RB
[J]. PHYSICAL REVIEW D, 1997, 55 (12) : 7546 - 7562
[10] Spherically collapsing matter in AdS, holography, and shellons
Danielsson, UH
Keski-Vakkuri, E
Kruczenski, M
[J]. NUCLEAR PHYSICS B, 1999, 563 (1-2) : 279 - 292

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