Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A sufficient condition for counterexamples to the Nelson-Seiberg theorem   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.

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The categories of this paper are: q-fin
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The categories of this paper are: chem-ph
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The categories of this paper are: comp-gas
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The categories of this paper are: quant-ph
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The categories of this paper are: plasm-ph
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The categories of this paper are: stat
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The categories of this paper are: alg-geom
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The categories of this paper are: hep-ex
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The categories of this paper are: atom-ph
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The categories of this paper are: chao-dyn
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The categories of this paper are: math-ph
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The categories of this paper are: patt-sol
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The categories of this paper are: acc-phys
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The categories of this paper are: q-alg
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The categories of this paper are: supr-con
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The categories of this paper are: solv-int