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On a classification of irreducible almost-commutative geometries V

  • 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.

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Author:Jan-Hendrik Jureit, Christoph A. Stephan
Document Type:Article
Year of first Publication:2009
Year of Completion:2009
Release Date:2017/03/25
Source:Journal of mathematical physics. - ISSN 0022-2488. - 50 (2009), 7, Art. 072301
Organizational units:Mathematisch-Naturwissenschaftliche Fakultät / Institut für Mathematik
Peer Review:Referiert