A sufficient condition for counterexamples to the Nelson-Seiberg theorem
arXiv:2106.08879 · doi:10.1007/JHEP07(2021)175
Abstract
Several counterexample models to the Nelson-Seiberg theorem have been discovered in previous literature, with generic superpotentials respecting the R-symmetry and non-generic R-charge assignments for chiral fields. This work present a sufficient condition for such counterexample models: The number of R-charge 2 fields, which is greater than the number of R-charge 0 fields, must be less than or equal to the number of R-charge 0 fields plus the number of independent field pairs with opposite R-charges and satisfying some extra requirements. We give a correct count of such field pairs when there are multiple field pairs with degenerated R-charges. These models give supersymmetric vacua with spontaneous R-symmetry breaking, thus are counterexamples to both the Nelson-Seiberg theorem and its extensions.
12 pages; v2: typos; v3: typos, JHEP pre-publication version
References in corpus (13)
- Four-dimensional String Compactifications with D-Branes, Orientifolds and Fluxes
- The Swampland: Introduction and Review
- Flux Compactification
- Dynamical SUSY Breaking in Meta-Stable Vacua
- Lectures on Supersymmetry Breaking
- Supersymmetry Breaking, R-Symmetry Breaking and Metastable Vacua
- Notes on SUSY and R-Symmetry Breaking in Wess-Zumino Models
- Implementing General Gauge Mediation
- Large hierarchies from approximate R symmetries
- R-symmetry breaking, runaway directions and global symmetries in O'Raifeartaigh models
- R-symmetry, supersymmetry breaking and metastable vacua in global and local supersymmetric theories
- The Nelson-Seiberg theorem generalized with nonpolynomial superpotentials
- O'Raifeartaigh models with spontaneous R-symmetry breaking