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Equivalence of BRST cohomologies for 2-d black hole and c=1 Liouville theory

Hiroshi Ishikawa, Mitsuhiro Kato

hep-tharXiv:hep-th/9211080

Abstract

We study the relation between the SL(2,R)/U(1) black hole and the c=1 Liouville theory. A deformation, which interpolates the BRST operators of both models, is explicitly constructed. This interpolation is isomorphic, and the physical spectrum of the black hole is equivalent to that of the c=1 model tensored by a topological U(1)/U(1) model. Some implications of the deformation are discussed.

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