Phases of $N=1$ Supersymmetric Gauge Theories and Electric-Magnetic Triality

Abstract

We discuss the phases of four dimensional gauge theories and demonstrate them in solvable examples. Some of our simple examples exhibit confinement and oblique confinement. The theory has dual magnetic and dual dyonic descriptions in which these phenomena happen at weak coupling. Combined with the underlying electric theory, which gives a weak coupling description of the Higgs phase, we have electric-magnetic-dyonic triality. In an appendix we clarify some points regarding the use of 1PI superpotentials in these theories.

arXiv comment13 pages, uses harvmac, to appear in the Proc. of Strings 95

Cited by in corpus (7)

• Reading between the lines of four-dimensional gauge theories
• 3d dualities from 4d dualities for orthogonal groups
• RG Fixed Points and Flows in SQCD with Adjoints
• Exact Results for the Supersymmetric $G_2$ Gauge Theories
• Vacuum Structure and Flavor Symmetry Breaking in Supersymmetric SO(n_c) Gauge Theories
• New Superconformal Field Theories in Four Dimensions and N=1 Duality
• Note on Seiberg Duality in Matrix Model