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H(3)+ correlators from Liouville theory

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arxiv hep-th/0502048 v3 pith:CI4GMZK3 submitted 2005-02-03 hep-th

H(3)+ correlators from Liouville theory

Sylvain Ribault , Joerg Teschner This is my paper
classification hep-th
keywords correlationfunctionsliouvilletheorymodelexpressiontermsarbitrary
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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We prove that arbitrary correlation functions of the H(3)+ model on a sphere have a simple expression in terms of Liouville theory correlation functions. This is based on the correspondence between the KZ and BPZ equations, and on relations between the structure constants of Liouville theory and the H(3)+ model. In the critical level limit, these results imply a direct link between eigenvectors of the Gaudin Hamiltonians and the problem of uniformization of Riemann surfaces. We also present an expression for correlation functions of the SL(2)/U(1) coset model in terms of correlation functions in Liouville theory.

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Cited by 4 Pith papers

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