Two-dimensional black hole as a topological coset model of c = 1 string theory

Abstract

We show that a special superconformal coset ( with c = 3) is equivalent to C = 1 matter coupled to two-dimensional gravity. This identification allows a direct computation of the correlation functions of the c =1 non-critical string to all genus, and at nonzero cosmological constant, directly from the continuum approach. The results agree with those of the matrix model. Moreover we connect our coset with a twisted version of a euclidean two-dimensional black hole, in which the ghost and matter systems are mixed.