The Nelson-Seiberg Theorem Generalized with Nonpolynomial Superpotentials

Abstract EN

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.