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Anomaly-Free Sets of Fermions
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We present new techniques for finding anomaly-free sets of fermions. Although the anomaly cancellation conditions typically include cubic equations with integer variables that cannot be solved in general, we prove by construction that any chiral set of fermions can be embedded in a larger set of fermions which is chiral and anomaly-free. Applying these techniques to extensions of the Standard Model, we find anomaly-free models that have arbitrary quark and lepton charges under an additional U(1) gauge group.
Forward citations
Cited by 3 Pith papers
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Multi-component secluded WIMP dark matter and Dirac neutrino masses with an extra Abelian gauge symmetry
An anomaly-free two-component secluded WIMP model with a dark photon, dark Higgs, and scotogenic Dirac neutrino masses can account for the observed relic density while evading cosmological bounds.
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Notes on anomalies, elliptic curves and the BS-D conjecture
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