A counterexample to the Nelson-Seiberg theorem
arXiv:1904.09589 · doi:10.1007/JHEP10(2020)072
Abstract
We present a counterexample to the Nelson-Seiberg theorem and its extensions. The model has 4 chiral fields, including one R-charge 2 field and no R-charge 0 filed. Giving generic values of coefficients in the renormalizable superpotential, there is a supersymmetric vacuum with one complex dimensional degeneracy. The superpotential equals zero and the R-symmetry is broken everywhere on the degenerated vacuum. The existence of such a vacuum disagrees with both the original Nelson-Seiberg theorem and its extensions, and can be viewed as the consequence of a non-generic R-charge assignment. Such counterexamples may introduce error to the field counting method for surveying the string landscape, and are worth further investigations.
7 pages; v2: discussion on non-generic R-charges added, new references updated; v3: minor changes to notation and convention in formulas, JHEP pre-publication version
References in corpus (14)
- Four-dimensional String Compactifications with D-Branes, Orientifolds and Fluxes
- The Swampland: Introduction and Review
- Flux Compactification
- Distance and de Sitter Conjectures on the Swampland
- Dynamical SUSY Breaking in Meta-Stable Vacua
- Lectures on Supersymmetry Breaking
- Supersymmetry Breaking, R-Symmetry Breaking and Metastable Vacua
- Physics of String Flux Compactifications
- Notes on SUSY and R-Symmetry Breaking in Wess-Zumino Models
- Implementing General Gauge Mediation
- R-symmetry breaking, runaway directions and global symmetries in O'Raifeartaigh models
- Supersymmetric Protection and the Swampland
- R-symmetry, supersymmetry breaking and metastable vacua in global and local supersymmetric theories
- Low Energy Supersymmetry from Non-Geometry
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- Novel counterexample to the Nelson-Seiberg theorem
- Gaugino masses from misaligned supersymmetry breaking and R-symmetry breaking spurions
- More on renormalizable exceptions to Nelson-Seiberg theorem