Anomaly Cancellation and gauge group of the standard model in NCG

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 $SU(3)\times SU(2)\times U(1)$.

10 pages, plain TeX.(TeX errors fixed)

References in corpus (1)

• Connes' interpretation of the Standard Model and massive neutrinos

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