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

Abstract

We consider N=1 supersymmetric gauge theories with a simple classical gauge group, one adjoint $\Phi ,N_f$ pairs ($Q_i,\widetilde{Q_i}$) of (fundamental, anti-fundamental) and a tree-level superpotential with terms of the Landau-Ginzburg form ${\tilde{Q}}_i{\Phi }^l{Q}_j$. 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.

26 pages, latex, no figures; the derivation of the classical part of the curves is clarified; version published in Nucl.Phys. B

References in corpus (1)

• N=2 Curves and a Coulomb Phase in N=1 SUSY Gauge Theories with Adjoint and Fundamental Matters

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