N = 2 SUPERSYMMETRIC INTEGRABLE MODELS FROM AFFINE TODA THEORIES

We show how a class of N = 2 supersymmetric, quantum integrable theories in two-dimensional space-time can be obtained by an appropriate choice of coupling in quantum Toda theories. The theories thus constructed correspond to the most relevant, supersymmetric perturbation of the N = 2 supersymmetric coset models based on G/H′ where G/H′ is a hermitian, symmetric space and G is level one. These perturbed conformal theories possess non-trivial conserved currents that can be constructed via a Miura transformation of the bosonic fields of the Toda theory. We show how the spectrum of these Toda theories is related to that of the associated Landau-Ginzburg model. © 1991.