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arxiv: 1804.09482 · v2 · pith:WFMPUXPWnew · submitted 2018-04-25 · ✦ hep-th · math-ph· math.MP· math.QA

Finite Pseudo-Riemannian Spectral Triples and The Standard Model

classification ✦ hep-th math-phmath.MPmath.QA
keywords pseudo-riemannianspectralfinitemodelstandardtriplesalgebrasdata
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Starting from the formulation of pseudo-Riemannian generalisation of real spectral triples we develop the data of geometries over finite-dimensional algebras with indefinite metric and their Riemannian parts. We then discuss the Standard Model spectral triple in this formalism and interpret the physical symmetry preserving the lepton number as a shadow of a finite pseudo-Riemannian structure.

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