arXiv:hep-th/9701081AbstractReferencesReviewsResources
Classification of Finite Spectral Triples
Published 1997-01-16, updated 1997-01-20Version 2
It is known that the spin structure on a Riemannian manifold can be extended to noncommutative geometry using the notion of a spectral triple. For finite geometries, the corresponding finite spectral triples are completely described in terms of matrices and classified using diagrams. When tensorized with the ordinary space-time geometry, finite spectral triples give rise to Yang-Mills theories with spontaneous symmetry breaking, whose characteristic features are given within the diagrammatic approach: vertices of the diagram correspond to gauge multiplets of chiral fermions and links to Yukawa couplings.
Comments: Latex, 29 pages with 2 figures, reference added
Journal: J.Geom.Phys. 28 (1998) 1-30
Categories: hep-th
Keywords: classification, corresponding finite spectral triples, ordinary space-time geometry, diagram correspond, yukawa couplings
Tags: journal article
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