H^+_3 WZNW model from Liouville field theory

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.

33 pages, no figure, minor changes, several equations corrected

References in corpus (3)

• Comments On String Theory
• Branes in the GL(1|1) WZNW-Model
• New boundary conditions for the c=-2 ghost system

Cited by in corpus (7)

• Branes in the GL(1|1) WZNW-Model
• Structure constants of the OSP(1|2) WZNW model
• On the fusion matrix of the N=1 Neveu-Schwarz blocks
• Braiding and fusion properties of the Neveu-Schwarz super-conformal blocks
• Boundary action of the H3+ model
• Topological expansion and boundary conditions
• Topological String on OSP(1|2)/U(1)