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arXiv · hep-th/9506115

Anomaly Cancellation and gauge group of the standard model in NCG

Enrique Alvarez·J. M. Gracia-Bondía·C. P. Martín
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Abstract

It is well known that anomaly cancellation {\it almost} determines the hypercharges in the standard model. A related (and somewhat more stronger) phenomenon takes place in Connes' NCG framework: unimodularity (a technical condition on elements of the algebra) is {\it strictly} equivalent to anomaly cancellation (in the absence of right-handed neutrinos); and this in turn reduces the symmetry group of the theory to the standard $SU(3)\times SU(2) \times U(1)$.

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Enrique Alvarez, J. M. Gracia-Bondía, C. P. Martín. 1995-06-20. Anomaly Cancellation and gauge group of the standard model in NCG. https://doi.org/10.1016/0370-2693(95)01051-3

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