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arXiv · 2006.00538

The Nelson-Seiberg theorem generalized with nonpolynomial superpotentials

Zhengyi Li·Zheng Sun
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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.

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Zhengyi Li, Zheng Sun. 2020-08-15. The Nelson-Seiberg theorem generalized with nonpolynomial superpotentials. https://doi.org/10.1155/2020%2F3701943

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