Krajewski diagrams and spin lifts

Details Krajewski diagrams and spin lifts Krajewski diagrams and spin lifts

2005-01-21

arxiv.org/abs/hep-th/0501181v2

Physics

High Energy Physics

High Energy Physics - Theory

19 pages LaTeX, 1 figure, will not be submitted to journal, v2: extension of diagram 1 and suppression of electro-weak model

Scientific paper

A classification of irreducible, dynamically non-degenerate, almost commutative spectral triples is refined. It is extended to include centrally extended spin lifts. Simultaneously it is reduced by imposing three constraints: (i) the condition of vanishing Yang-Mills and mixed gravitational anomalies, (ii) the condition that the fermion representation be complex under the little group, while (iii) massless fermions are to remain neutral under the little group. These constraints single out the standard model with one generation of leptons and quarks and with an arbitrary number of colours.

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