Supersymmetry and R-symmetries in Wess-Zumino models: properties and model dataset construction

TL;DR

This paper reviews supersymmetry and R-symmetries in Wess-Zumino models, constructs a dataset of R-symmetric models, and identifies counterexamples to the Nelson-Seiberg theorem, aiding the understanding of supersymmetry breaking.

Contribution

It provides a pedagogical review and a preliminary dataset of R-symmetric Wess-Zumino models, including counterexamples to existing theorems, for studying supersymmetry breaking.

Findings

Identified 20 counterexamples among 925 models.

Constructed a dataset of R-symmetric Wess-Zumino models with up to 5 chiral fields.

Estimated the accuracy of the field counting method based on theorems.

Abstract

The Nelson-Seiberg theorem and its extensions relate supersymmetry breaking and R-symmetries in Wess-Zumino models. But their applicability may be limited by previously found non-generic counterexamples. Constructing a dataset of R-symmetric Wess-Zumino models is useful for studying the occurrence of such counterexamples as well as other purposes. This work gives a pedagogical review on the basics of supersymmetry in (3+1)-dimensions, Wess-Zumino models and their supergravity extensions, the Nelson-Seiberg theorem and its extensions. We present a preliminary construction of the dataset of R-symmetric Wess-Zumino models with up to 5 chiral fields. Among 925 models in total, 20 of them with non-generic R-charges are counterexamples to both the Nelson-Seiberg theorem and its extensions. Thus the dataset gives an estimation of the accuracy of the field counting method based on these theorems. More constructions and applications of the dataset are expected in future work.