Discrete R-symmetries and F-term Supersymmetry Breaking

Abstract

We have shown that in a large number of generic and renormalizable Wess-Zumino models existence of a $Z_n$ R-symmetry is sufficient to break supersymmetry spontaneously. This implies that existence of a $Z_n$ R-symmetry is a necessary condition for supersymmetry breaking in generic and renormalizable Wess-Zumino models.

Comments: 9 pages, LaTex, 3 figures. Completely new non-trivial examples are given. Some trivial examples are removed. Number and name of the sections has changed. The changes in the abstract, Introduction and Conclusions are are minor