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arXiv · 0706.1030

H^+_3 WZNW model from Liouville field theory

Yasuaki Hikida·Volker Schomerus
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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 WZNW model explicitly through Liouville correlators with N+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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Yasuaki Hikida, Volker Schomerus. 2008-01-14. H^+_3 WZNW model from Liouville field theory. https://doi.org/10.1088/1126-6708%2F2007%2F10%2F064

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