Krajewski diagrams and the Standard Model

Details Krajewski diagrams and the Standard Model Krajewski diagrams and the Standard Model

2008-09-30

arxiv.org/abs/0809.5137v1

J.Math.Phys.50:043515,2009

Physics

High Energy Physics

High Energy Physics - Theory

Scientific paper

10.1063/1.3112622

This paper provides a complete list of Krajewski diagrams representing the standard model of particle physics. We will give the possible representations of the algebra and the anomaly free lifts which provide the representation of the standard model gauge group on the fermionic Hilbert space. The algebra representations following from the Krajewski diagrams are not complete in the sense that the corresponding spectral triples do not necessarily obey to the axiom of Poincare duality. This defect may be repaired by adding new particles to the model, i.e. by building models beyond the standard model. The aim of this list of finite spectral triples (up to Poincare duality) is therefore to provide a basis for model building beyond the standard model.

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