Non Supersymmetric Vacua and the D-flatness Condition

Some N = 1 gauge theories, including SQED and NF = 1 SQCD, have the property that, for arbitrary superpotentials, all stationary points of the potential V = F +D are D−flat. For others, stationary points of V are complex gauge transformations of D−flat configurations. As an implication, the technique to parametrize the moduli space of supersymmetric vacua in terms of a set of basic holomorphic G invariants can be extended to non-supersymmetric vacua. A similar situation is found in non-gauge theories with a compact global symmetry group. Typeset using REVTEX Fundación Antorchas postdoctoral fellow.