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 throu...

We evaluate partition functions ZI in topologically nontrivial (instanton) gauge sectors in the bosonized version of the Schwinger model and in a gauged WZNW model corresponding to QCD2 with adjoint fermions. We show that the bosonized model is equivalent to the fermion model only if a particular form of the WZNW action with gauge-invariant integrand is chosen. For the exact correspondence, it ...

Recently, Ribault and Teschner pointed out the existence of a one-to-one correspondence between N -point correlation functions for the SL(2,C)k/SU(2) WZNW model on the sphere and certain set of 2N − 2-point correlation functions in Liouville field theory. This result is based on a seminal work by Stoyanovsky. Here, we discuss the implications of this correspondence focusing on its application t...