WZNW model from Liouville field theory
نویسندگان
چکیده
Abstract: There exists an intriguing relation between genus zero correlation functions in the H 3 WZNW model and in Liouville field theory. We provide a path integral derivation of the correspondence and then use our new approach to generalize the relation to surfaces of arbitrary genus g. In particular we determine the correlation functions of N primary fields in the WZNWmodel explicitly through Liouville correlators withN+2g−2 additional insertions of certain degenerate fields. The paper concludes with a list of interesting further extensions and a few comments on the relation to the geometric Langlands program.
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