On a Classification of Irreducible Almost-Commutative Geometries V

Details On a Classification of Irreducible Almost-Commutative Geometries V On a Classification of Irreducible Almost-Commutative Geometries V

2009-01-21

arxiv.org/abs/0901.3214v1

Physics

High Energy Physics

High Energy Physics - Theory

Scientific paper

We extend a classification of irreducible, almost-commutative geometries whose spectral action is dynamically non-degenerate, to internal algebras that have six simple summands. We find essentially four particle models: An extension of the standard model by a new species of fermions with vectorlike coupling to the gauge group and gauge invariant masses, two versions of the electro-strong model and a variety of the electro-strong model with Higgs mechanism.

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