Perturbed c > 1 conformal field theories and generalized Toda field theories

Abstract

We study relevant perturbations of conformal field theory based on G ̂ k× G ̂ n/ G ̂ k+n coset spaces, for an arbitrary simply-laced Lie group G. By studying the Feigin-Fuchs construction of the models, we provide evidence for integrable systems, away from the minimal conformal models with the central charge c greater than 1. The new systems are identified as generalizations of Toda field theory which involve non-local parafermionic currents as well as bosonic fields.