More on renormalizable exceptions to Nelson-Seiberg theorem

The Nelson-Seiberg theorem dictates conditions for the spontaneous breaking of supersymmetry in Wess–Zumino models with generic, possibly nonrenormalizable, superpotential; existence R-symmetry is necessary while sufficient. If we restrict ourselves to generic but renormalizable theories, however, there exist whose vacua break spontaneously preserving supersymmetry. classification and such exceptions are under active study. We give some new examples preserved that not covered literature.