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Nonexistence of supersymmetry breaking counterexamples to the Nelson-Seiberg theorem
- Source :
- JHEP 10 (2021) 170
- Publication Year :
- 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 superpotentials respecting the R-symmetry, and more R-charge 2 fields than R-charge 0 fields. But they give supersymmetric vacua with spontaneous R-symmetry breaking, thus violate both the Nelson-Seiberg theorem and its revisions. This work proves that the other type of counterexamples do not exist. When there is no R-symmetry, or there are no more R-charge 2 fields than R-charge 0 fields in models with R-symmetries, generic superpotentials always give supersymmetric vacua. There exists no specific arrangement of R-charges or non-R symmetry representations which makes a counterexample with a supersymmetry breaking vacuum. This nonexistence theorem contributes to a refined classification of R-symmetric Wess-Zumino models.<br />Comment: 9 pages; v2: typos, JHEP pre-publication version
- Subjects :
- High Energy Physics - Theory
High Energy Physics - Phenomenology
Subjects
Details
- Database :
- arXiv
- Journal :
- JHEP 10 (2021) 170
- Publication Type :
- Report
- Accession number :
- edsarx.2107.09943
- Document Type :
- Working Paper
- Full Text :
- https://doi.org/10.1007/JHEP10(2021)170