Topological string on OSP(1|2)/U(1)

Abstract

We propose an equivalence between topological string on OSP(1|2)/U(1) and Ĉ ≥ 1 superstring with = 1 world-sheet supersymmetry. We examine this by employing a free field representation of OSP(1|2) WZNW model and find an agreement on the spectrum. We also analyze this proposal at the level of scattering amplitudes by applying a map between correlation functions of OSP(1|2) WZNW model and those of = 1 Liouville theory.