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

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.

latex. 10 pages. UT-Komaba/92-11

References in corpus (1)

• $W_{\infty} Algebra in Two-Dimensional Black Hole

Cited by in corpus (6)

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• Naked Singularities in Four-Dimensional String Backgrounds
• Arbitrary Spacetimes from the SL(2,R)/U(1) Coset Model