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Many extensions of the Standard Model include an extra gauge boson, whose couplings to fermions are constrained by the requirement that anomalies cancel.
J. Davighi, B. Gripaios, and N. Lohitsiri, (2019),
1910
Earlier work this paper cites.
L. Mordell,
1969
Earlier work this paper cites.
S. Weinberg,
1995
Earlier work this paper cites.
2009
Cited alongside, same era.
J. Stillwell,
2010
Cited alongside, same era.
Examples include models of dark matter, axions, proton stabilization, the anomalous magnetic moment of the muon, anomalies in
Cited in the paper.
We consider here local anomalies, which require us to specify only the Lie
Cited in the paper.
Regarding the model as an effective field theory, it is possible that anomalies are compensated by a Wess-Zumino term. We shall ignore this possibility
Cited in the paper.
A standard argument shows that vector-like fermions make no contrbution to the anomaly
Cited in the paper.
B. C. Allanach, J. Davighi, and S. Melville,
Cited in the paper.
These arguments are standard ones in elementary number theory
Cited in the paper.
Cited in the paper.
If one were to add multiples of hypercharge to any solution, one would obtain another solution. This redundancy could be removed, resulting in the projective dimension of the variety being one fewer
Cited in the paper.
B. C. Allanach, B. Gripaios, and J. Tooby-Smith, (2020a), to appear
Cited in the paper.
This observation goes back at least to Fermat and probably all the way to the diophantine school
Cited in the paper.
D. B. Costa, B. A. Dobrescu, and P. J. Fox,
2019
Later among the works it cites.
B. C. Allanach, B. Gripaios, and J. Tooby-Smith,
2020
Closest in time.
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