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

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1993

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Elsevier
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Mukhi, Sunil, and Cumrun Vafa. 1993. “Two-Dimensional Black Hole as a Topological Coset Model of c = 1 String Theory.” Nuclear Physics B 407 (3): 667–705. https://doi.org/10.1016/0550-3213(93)90094-6.

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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.

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