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

Physics – High Energy Physics – High Energy Physics - Theory

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

Scientific paper

10.1016/S0550-3213(97)00297-6

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.

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