H(3)+ correlators from Liouville theory

Details H(3)+ correlators from Liouville theory H(3)+ correlators from Liouville theory

2005-02-03

arxiv.org/abs/hep-th/0502048v3

JHEP 0506:014,2005

Physics

High Energy Physics

High Energy Physics - Theory

24 pages, v3: minor changes, references added

Scientific paper

10.1088/1126-6708/2005/06/014

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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