  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.
