Novel counterexample to the Nelson-Seiberg theorem
arXiv:2203.05464 · doi:10.1103/PhysRevD.106.085009
Abstract
We present a new type of counterexample to the Nelson-Seiberg theorem. It is a generic R-symmetric Wess-Zumino model with nine chiral superfields, including one field of R-charge 2 and no R-charge 0 field. As in previous counterexamples, the model gives a set of degenerate supersymmetric vacua with a non-zero expectation value for a pair of oppositely R-charged fields. However, one of these fields appears quadratically in the superpotential, and many other fields with non-zero R-charges gain non-zero expectation values at the vacuum, and so this model escapes the sufficient condition for counterexamples established in previous literature. Thus there are still open problems in the relation of R-symmetries to supersymmetry breaking in generic models.
7 pages; v2: discussion on the full vacuum structure, saddles and nonexistence of non-SUSY vacua or runaways; v3: typos, Phys.Rev.D pre-publication version
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