# The Nelson-Seiberg Theorem Generalized with Nonpolynomial Superpotentials

@article{Li2020TheNT, title={The Nelson-Seiberg Theorem Generalized with Nonpolynomial Superpotentials}, author={Zheng-Yang Li and Zheng Sun}, journal={arXiv: High Energy Physics - Theory}, year={2020} }

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…

## 4 Citations

A counterexample to the Nelson-Seiberg theorem

- Physics
- 2019

We present a counterexample to the Nelson-Seiberg theorem and its extensions. The model has 4 chiral fields, including one R-charge 2 field and no R-charge 0 filed. Giving generic values of…

A formal notion of genericity and term-by-term vanishing superpotentials at supersymmetric vacua from R-symmetric Wess-Zumino models

- PhysicsJournal of High Energy Physics
- 2021

Abstract
It is known in previous literature that if a Wess-Zumino model with an R-symmetry gives a supersymmetric vacuum, the superpotential vanishes at the vacuum. In this work, we establish a…

A sufficient condition for counterexamples to the Nelson-Seiberg theorem

- PhysicsJournal of High Energy Physics
- 2021

Abstract
Several counterexample models to the Nelson-Seiberg theorem have been discovered in previous literature, with generic superpotentials respecting the R-symmetry and non-generic R-charge…

Nonexistence of supersymmetry breaking counterexamples to the Nelson-Seiberg theorem

- PhysicsJournal of High Energy Physics
- 2021

Abstract
Counterexample models to the Nelson-Seiberg theorem have been discovered, and their features have been studied in previous literature. All currently known counterexamples have generic…

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