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

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

1992-11-18

arxiv.org/abs/hep-th/9211080v1

Phys.Lett. B302 (1993) 209-214

Physics

High Energy Physics

High Energy Physics - Theory

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

Scientific paper

10.1016/0370-2693(93)90386-V

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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