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arXiv 2006.005382020-06hep-thhep-ph

The Nelson-Seiberg theorem generalized with nonpolynomial superpotentials

Zhengyi Li, Zheng Sun

备注：: 10 pages, discussions on D-terms, runaway models and existence of vacua added, Advances in High Energy Physics accepted version
发表信息：: Adv.High Energy Phys. 2020 (2020) 3701943
DOI：: 10.1155/2020/3701943

英文摘要：

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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