PROBING INTEGRABLE PERTURBATIONS OF CONFORMAL THEORIES USING SINGULARVECTORS (II) - N = 1 SUPERCONFORMAL THEORIES

In this work we pursue the singular-vector analysis of the integrable perturbations of conformal theories that was initiated in our earlier paper [Nucl. Phys, B 475 (1996) 361]. Here we consider the detailed st udy of the N = 1 superconformal theory and show that all integrable pe rturbations can be identified from a simple singular-vector argument, We identify these perturbations as theories based on affine Lie supera lgebras and show that the results we obtain relating two perturbations can be understood by the extension of affine Toda duality to these th eories with fermions, We also discuss how this duality is broken in sp ecific cases. (C) 1998 Elsevier Science B.V.