2007/06/30 by Yasuaki Hikida, Volker Schomerus · 1 citation
Physics and Astronomy · #hep-th
paper · pdf · doi:10.1088/1126-6708/2007/10/064
published as JHEP 0710:064,2007 · 33 pages, no figure, minor changes, several equations corrected
arxiv created 2008/01/14 · arxiv updated 2009/12/01
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.