Nonexistence of supersymmetry breaking counterexamples to the Nelson-Seiberg theorem

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.

9 pages; v2: typos, JHEP pre-publication version

References in corpus (6)

• Four-dimensional String Compactifications with D-Branes, Orientifolds and Fluxes
• Flux Compactification
• Lectures on Supersymmetry Breaking
• R-symmetry breaking, runaway directions and global symmetries in O'Raifeartaigh models
• The Nelson-Seiberg theorem generalized with nonpolynomial superpotentials
• A sufficient condition for counterexamples to the Nelson-Seiberg theorem