The Coulomb Phase in N=1 Gauge Theories With a LG-Type Superpotenetial

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We consider N=1 supersymmetric gauge theories with a simple classical gauge group, one adjoint Φ, Nf pairs (Qᵢ,Qᵢ) of (fundamental, anti-fundamental) and a tree-level superpotential with terms of the Landau-Ginzburg form QᵢΦˡQⱼ. 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(Nc) and USp(Nc) (the corresponding curve for SU(Nc) 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.