The Standard Model in noncommutative geometry: fundamental fermions as internal forms
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Given the algebra, Hilbert space H, grading and real structure of the finite spectral triple of the Standard Model, we classify all possible Dirac operators such that H is a self-Morita equivalence bimodule for the associated Clifford algebra.
KeywordsSpectral triples Morita equivalence Standard Model
Mathematics Subject ClassificationPrimary 58B34 Secondary 46L87 81T13
L.D. is grateful for his support at IMPAN provided by Simons-Foundation Grant 346300 and a Polish Government MNiSW 2015–2019 matching fund. A.S. acknowledges the support from the Grant NCN 2015/19/B/ST1/03098. This work is part of the project Quantum Dynamics sponsored by the EU-grant RISE 691246 and Polish Government grant 317281.
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