Structure constants of the OSP(1|2) WZNW model

TL;DR

This paper derives exact 2- and 3-point correlation functions for the OSP(1|2) WZNW model, connecting it to N=1 Liouville theory, and provides explicit structure constants for this non-compact supergroup model.

Contribution

It introduces exact formulas for correlation functions of the OSP(1|2) WZNW model using a path integral approach and relates them to N=1 Liouville theory, offering new insights into supergroup WZNW models.

Findings

Exact 2- and 3-point functions derived

Structure constants explicitly calculated

Connection established with N=1 Liouville theory

Abstract

We propose exact formulas for the 2- and 3-point functions of the WZNW model on the non-compact supergroup OSP(1|2). Using the path integral approach that was recently developed in arXiv:0706.1030 we show how local correlation functions in the OSP(p|2) WZNW models can be obtained from those of N=p supersymmetric Liouville field theory for p=1,2. We then employ known results on correlators in N=1 Liouville theory to determine the structure constants of the OSP(1|2) theory.