String theory and black holes

Journal Article · Mon Jul 15 04:00:00 EDT 1991 · Physical Review, D (Particles Fields); (USA)

DOI:https://doi.org/10.1103/PhysRevD.44.314· OSTI ID:5730868

Witten, E ^[1]

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1. School of Natural Sciences, Institute for Advanced Study, Olden Lane, Princeton, New Jersey 08540 (US)

An exact conformal field theory describing a black hole in two-dimensional space-time is found as an SL(2,{ital openR})/U(1) gauged Wess-Zumino-Witten model. For {ital k}=9/4, the conformal field theory can be regarded as a classical solution of the same system that is probed in the {ital c}=1 matrix model. The conformal field theory governing the space-time is regular at the Riemannian singularity, but it appears that generic perturbations blow up there. It is argued that the end point of the Hawking black-hole evaporation is the {ital standard} space-time of the {ital c}=1 matrix model, which should be regarded as an analog of the extreme Reissner-Nordstroem black hole of four-dimensional general relativity. The {ital c}=1 model is thus a model of the quantum mechanics of matter interacting with a black hole.

• OSTI ID: 5730868
• Journal Information: Physical Review, D (Particles Fields); (USA), Journal Name: Physical Review, D (Particles Fields); (USA) Vol. 44:2; ISSN PRVDA; ISSN 0556-2821
• Country of Publication: United States
• Language: English

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71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
BLACK HOLES
COMPOSITE MODELS
EXTENDED PARTICLE MODEL
FIELD THEORIES
GAUGE INVARIANCE
GENERAL RELATIVITY THEORY
INVARIANCE PRINCIPLES
LIE GROUPS
LIOUVILLE THEOREM
MATHEMATICAL MODELS
MATHEMATICAL SPACE
PARTICLE MODELS
PERTURBATION THEORY
QUARK MODEL
RIEMANN SPACE
SINGULARITY
SPACE
SPACE-TIME
STRING MODELS
SU GROUPS
SU-2 GROUPS
SUPERSYMMETRY
SYMMETRY
SYMMETRY GROUPS
TWO-DIMENSIONAL CALCULATIONS
U GROUPS
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