PHASES OF N=1 SUPERSYMMETRIC GAUGE-THEORIES IN 4-DIMENSIONS

We exhibit N = 1 supersymmetric field theories in confining, Coulomb a nd Higgs phases. The superpotential and the gauge kinetic terms are ho lomorphic and can be determined exactly in the various phases. The Cou lomb phase generically has points with massless monopoles. When they c ondense, the theory undergoes a phase transition to a confining phase. When there are points in the Coulomb phase with massless electric cha rges, their condensation leads to a transition to a Higgs phase. When the Higgs and confinement phases are distinct, we expect to find massl ess interacting gluons at the transition point between them.