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

Hiroshi Ishikawa, Mitsuhiro Kato

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 const…