CHIRAL RINGS, SINGULARITY THEORY AND ELECTRIC-MAGNETIC DUALITY

We study in detail the space of perturbations of a pair of dual N = 1 supersymmetric theories based on an SU(N-c) gauge theory with an adjoi nt X and fundamentals with a superpotential which is polynomial in X, The equivalence between them depends on non-trivial facts about polyno mial equations, i.e. singularity theory. The classical chiral rings of the two theories are different, Quantum mechanically there are new re lations in the chiral rings which ensure their equivalence. Duality in terchanges ''trivial'' classical relations in one theory with quantum relations in the other and vice versa. We also speculate about the beh avior of the theory without the superpotential.