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

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

1993-01-19

arxiv.org/abs/hep-th/9301083v1

Nucl.Phys. B407 (1993) 667-705

Physics

High Energy Physics

High Energy Physics - Theory

51 pages. Appendix by E. Frenkel

Scientific paper

10.1016/0550-3213(93)90094-6

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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