THE COULOMB BRANCH OF N=1 SUPERSYMMETRIC GAUGE-THEORY WITH ADJOINT AND FUNDAMENTAL MATTER

We consider N = 1 SU(N-c) gauge theory with an adjoint matter field Ph i, N-f flavors of fundamentals Q and antifundamentals (Q) over tilde, and tree-level superpotential of the form (Q) over tilde Phi(1)Q. This superpotential is relevant or marginal for lN(f) less than or equal t o 2N(c). The theory has a Coulomb branch which is not lifted by quantu m corrections. We find the exact effective gauge coupling on the Coulo mb branch in terms of a family of hyperelliptic curves, thus providing a generalization of known results about N = 2 SUSY QCD to N = 1 conte xt The Coulomb branch has singular points at which mutually nonlocal d yons become massless. These singularities presumably correspond to new N = I superconformal fixed points. We discuss them in some detail for N-2 = 2, N-f = 1. (C) 1997 Elsevier Science B.V.