On a classification of irreducible almost-commutative geometries V

Journal Article · Wed Jul 15 00:00:00 EDT 2009 · Journal of Mathematical Physics

DOI:https://doi.org/10.1063/1.3167287· OSTI ID:21294211

Jureit, Jan-Hendrik; Stephan, Christoph A ^[1]

---

1. Institut fuer Mathematik, Universitaet Potsdam, Am Neuen Palais 10, 14469 Potsdam (Germany)

We extend a classification of irreducible almost-commutative geometries, whose spectral action is dynamically nondegenerate, 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 electrostrong model, and a variety of the electrostrong model with Higgs mechanism.

• OSTI ID: 21294211
• Journal Information: Journal of Mathematical Physics, Vol. 50, Issue 7; Other Information: DOI: 10.1063/1.3167287; (c) 2009 American Institute of Physics; Country of input: International Atomic Energy Agency (IAEA); ISSN 0022-2488
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
ALGEBRA
CLASSIFICATION
GAUGE INVARIANCE
GEOMETRY
HIGGS BOSONS
HIGGS MODEL
MASS
NEUTRINOS
STANDARD MODEL
YANG-MILLS THEORY