More on renormalizable exceptions to Nelson-Seiberg theorem

Abstract

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

10 pages, v2: reference updated

References in corpus (4)

• Notes on SUSY and R-Symmetry Breaking in Wess-Zumino Models
• A sufficient condition for counterexamples to the Nelson-Seiberg theorem
• A formal notion of genericity and term-by-term vanishing superpotentials at supersymmetric vacua from R-symmetric Wess-Zumino models
• Novel counterexample to the Nelson-Seiberg theorem