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arXiv · hep-th/9301083

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

S. Mukhi·C. Vafa·E. Frenkel
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Abstract

We show that a special superconformal coset (with $\hat c =3$) 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.

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S. Mukhi, C. Vafa, E. Frenkel. 1993-01-19. Two dimensional black-hole as a topological coset model of c=1 string theory. https://doi.org/10.1016/0550-3213(93)90094-6

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