The Standard Model in noncommutative geometry and Morita equivalence

  • Francesco D'Andrea

    Università degli Studi di Napoli “Federico II”, Italy
  • Ludwik Dąbrowski

    SISSA, Trieste, Italy

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