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.
arXiv comment7 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
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Cited by in corpus (6)
- A sufficient condition for counterexamples to the Nelson-Seiberg theorem
- A formal notion of genericity and term-by-term vanishing superpotentials at supersymmetric vacua from R-symmetric Wess-Zumino models
- Nonexistence of supersymmetry breaking counterexamples to the Nelson-Seiberg theorem
- 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