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Abstract: There exists an intriguing relation between genus zero correlation functionsin the H^+ 3 WZNW model and in Liouville field theory. We provide a pathintegral derivation of the correspondence and then use our new approach togeneralize the relation to surfaces of arbitrary genus g. In particular wedetermine the correlation functions of N primary fields in the WZNW modelexplicitly through Liouville correlators with N+2g-2 additional insertions ofcertain degenerate fields. The paper concludes with a list of interestingfurther extensions and a few comments on the relation to the geometricLanglands program.



Autor: Yasuaki Hikida, Volker Schomerus

Fuente: https://arxiv.org/



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