Hidden conformal symmetry of extremal black holes

Journal Article · Mon Nov 15 04:00:00 EST 2010 · Physical Review. D, Particles Fields

DOI:https://doi.org/10.1103/PHYSREVD.82.104017· OSTI ID:21503628

Bin, Chen; Jiang, Long; Jiaju, Zhang ^[1]

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1. Department of Physics, and State Key Laboratory of Nuclear Physics Technology, and Center for High Energy Physics, Peking University, Beijing 100871 (China)

We study the hidden conformal symmetry of extremal black holes. We introduce a new set of conformal coordinates to write the SL(2,R) generators. We find that the Laplacian of the scalar field in many extremal black holes, including Kerr(-Newman), Reissner-Nordstrom, warped AdS{sub 3}, and null warped black holes, could be written in terms of the SL(2,R) quadratic Casimir. This suggests that there exist dual conformal field theory (CFT) descriptions of these black holes. From the conformal coordinates, the temperatures of the dual CFTs could be read directly. For the extremal black hole, the Hawking temperature is vanishing. Correspondingly, only the left (right) temperature of the dual CFT is nonvanishing, and the excitations of the other sector are suppressed. In the probe limit, we compute the scattering amplitudes of the scalar off the extremal black holes and find perfect agreement with the CFT prediction.

• OSTI ID: 21503628
• Journal Information: Physical Review. D, Particles Fields, Journal Name: Physical Review. D, Particles Fields Journal Issue: 10 Vol. 82; ISSN PRVDAQ; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
AMPLITUDES
BLACK HOLES
CASIMIR EFFECT
CONFORMAL INVARIANCE
ENERGY-LEVEL TRANSITIONS
EXCITATION
FIELD THEORIES
FORECASTING
INVARIANCE PRINCIPLES
LAPLACIAN
MATHEMATICAL OPERATORS
QUANTUM FIELD THEORY
SCALAR FIELDS
SCATTERING AMPLITUDES