Discrete R-symmetries and F-term Supersymmetry Breaking

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.

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