Krajewski diagrams and spin lifts
High Energy Physics - Theory
2007-05-23 v2
Abstract
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.
Cite
@article{arxiv.hep-th/0501181,
title = {Krajewski diagrams and spin lifts},
author = {Thomas Schucker},
journal= {arXiv preprint arXiv:hep-th/0501181},
year = {2007}
}
Comments
19 pages LaTeX, 1 figure, will not be submitted to journal, v2: extension of diagram 1 and suppression of electro-weak model