%0 Journal Article %T The Coulomb Phase in N=1 Gauge Theories With a LG-Type Superpotenetial %A Amit Giveon %A Oskar Pelc %A Eliezer Rabinovici %J Physics %D 1997 %I arXiv %R 10.1016/S0550-3213(97)00297-6 %X We consider N=1 supersymmetric gauge theories with a simple classical gauge group, one adjoint $\Phi, N_f$ pairs ($Q_i,\tilde{Q_i}$) of (fundamental, anti-fundamental) and a tree-level superpotential with terms of the Landau-Ginzburg form $\tilde{Q}_i\Phi^lQ_j$. The quantum moduli space of these models includes a Coulomb branch. We find hyperelliptic curves that encode the low energy effective gauge coupling for the groups SO(N_c) and USp(N_c) (the corresponding curve for SU(N_c) is already known). As a consistency check, we derive the sub-space of some vacua with massless dyons via confining phase superpotentials. We also discuss the existence and nature of the non-trivial superconformal points appearing when singularities merge in the Coulomb branch. %U http://arxiv.org/abs/hep-th/9701045v2