THE FRACTIONAL SUPERSYMMETRIC SINE-GORDON MODELS

We define and study new integrable quantum field theories which we refer to as the fractional supersymmetric sine-Gordon theories. The field content consists of an interacting system of ZK parafermions and a boson. The modelsare characterized by a fractional supersymmetry. We find additional non-local conserved charges that can be identified with generators of the SUq(2) loop algebra. Exact S-matrices which are consistent with all of the symmetries are proposed. Special cases of the models include perturbations of the N=2 supersymmetric minimal series and current-current perturbations of the WZW models. © 1990.