MORE DYNAMICAL SUPERSYMMETRY BREAKING

In this paper we introduce a new class of theories which dynamically b reak supersymmetry based on the gauge group SU(n) x SU(3) x U(1) for e ven n, These theories are interesting in that no dynamical superpotent ial is generated in the absence of perturbations. For the example SU(4 ) x SU(3) x U(1) we explicitly demonstrate that all flat directions ca n be lifted through a renormalizable superpotential and that supersymm etry is dynamically broken, We derive the exact superpotential for thi s theory, which exhibits new and interesting dynamical phenomena, For example, modifications to classical constraints can be field dependent . We also consider the generalization to SU(n) x SU(3) x U(1) models ( with even n > 4), We present a renormalizable superpotential which lif ts all flat directions. Because SU(3) is not confining in the absence of perturbations, the analysis of supersymmetry breaking is very diffe rent in these theories from the n = 4 example. When the SU(n) gauge gr oup confines, the Yukawa couplings drive the SU(3) theory into a regim e with a dynamically generated superpotential. By considering a simpli fied version of these theories we argue that supersymmetry is probably broken.