PERTURBED C-GREATER-THAN-1 CONFORMAL FIELD-THEORIES AND GENERALIZED TODA FIELD-THEORIES

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. © 1990.