The Nelson-Seiberg theorem generalized with nonpolynomial superpotentials
Abstract
The Nelson-Seiberg theorem relates R-symmetries to F-term supersymmetry breaking, and provides a guiding rule for new physics model building beyond the Standard Model. A revision of the theorem gives a necessary and sufficient condition to supersymmetry breaking in models with polynomial superpotentials. This work revisits the theorem to include models with nonpolynomial superpotentials. With a generic R-symmetric superpotential, a singularity at the origin of the field space implies both R-symmetry breaking and supersymmetry breaking. We give a generalized necessary and sufficient condition for supersymmetry breaking which applies to both perturbative and nonperturbative models.
- Publication:
-
arXiv e-prints
- Pub Date:
- May 2020
- arXiv:
- arXiv:2006.00538
- Bibcode:
- 2020arXiv200600538L
- Keywords:
-
- High Energy Physics - Theory;
- High Energy Physics - Phenomenology
- E-Print:
- 10 pages, discussions on D-terms, runaway models and existence of vacua added, Advances in High Energy Physics accepted version