SYMPLECTIC SUSY GAUGE-THEORIES WITH ANTISYMMETRIC MATTER

We investigate the confining phase vacua of supersymmetric Sp(2N(C)) g auge theories that contain matter in both fundamental and antisymmetri c representations. The moduli spaces or such models with N-F=3 quark f lavors and N-A=1 antisymmetric fields are analogous to that of SUSY QC D with N-F=N-C+1 flavors. In particular, the forms of their quantum su perpotentials are fixed by classical constraints. When mass terms are coupled to W(N-F=3,N-A=1) and heavy fields are integrated out, complet e towers of dynamically generated superpotentials for low energy theor ies with fewer numbers of matter fields can be derived. Following this approach, we deduce exact superpotentials in Sp(4) and Sp(6) theories which cannot be determined by symmetry considerations or integrating in techniques. Building upon these simple symplectic group results, we also examine the ground state structures of several Sp(4)X Sp(4) and Sp(6)X Sp(2) models. We emphasize that the top-down approach may be us ed to methodically find dynamical superpotentials in many other confin ing supersymmetric gauge theories.