On exact solution of topological CFT models based on Kazama-Suzuki cosets

Abstract

We compute the flat coordinates on the Frobenius manifolds arising on the deformation space of Gepner ŜU (3)k chiral rings. The explicit form of the flat coordinates is important for exact solutions of models of topological CFT and 2D Liouville gravity. We describe the case k=3, which is of particular interest because apart from the relevant chiral fields it contains a marginal one. Whereas marginal perturbations are relevant in different contexts, their analysis requires additional care compared to the relevant perturbations.