The Standard Model in noncommutative geometry and Morita equivalence
Francesco D'Andrea
Università degli Studi di Napoli “Federico II”, ItalyLudwik Dąbrowski
SISSA, Trieste, Italy
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Abstract
We discuss some properties of the spectral triple describing the internal space in the noncommutative geometry approach to the Standard Model, with . We show that, if we want to be a Morita equivalence bimodule between and the associated Clifford algebra, two terms must be added to the Dirac operator; we then study its relation with the orientability condition for a spectral triple. We also illustrate what changes if one considers a spectral triple with a degenerate representation, based on the complex algebra .
Cite this article
Francesco D'Andrea, Ludwik Dąbrowski, The Standard Model in noncommutative geometry and Morita equivalence. J. Noncommut. Geom. 10 (2016), no. 2, pp. 551–578
DOI 10.4171/JNCG/242