On a Classification of Irreducible Almost-Commutative Geometries V

Abstract

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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Cited by in corpus (5)

• New Scalar Fields in Noncommutative Geometry
• Moduli spaces of Dirac operators for finite spectral triples
• A reconstruction theorem for almost-commutative spectral triples
• A Dark Sector Extension of the Almost-Commutative Standard Model
• Going beyond the Standard Model with noncommutative geometry