PROPOSAL FOR A SIMPLE-MODEL OF DYNAMICAL SUSY BREAKING

We discuss supersymmetric SU(2) gauge theory with a single matter fiel d in the I = 3/2 representation. This theory has a moduli space of exa ctly degenerate vacua. Classically it is the complex plane with an orb ifold singularity at the origin. There seem to be two possible candida tes for the quantum theory at the origin. In both the global chiral sy mmetry is unbroken. The first is interacting quarks and gluons at a no n-trivial infrared fixed point - a non-Abelian Coulomb phase. The seco nd, which we consider more likely, is a confining phase where the sing ularity is simply smoothed out. If this second, more likely, possibili ty is realized, supersymmetry will dynamically break when a tree level superpotential is added. This would be the simplest known gauge theor y which dynamically breaks supersymmetry.