English

The Standard Model in noncommutative geometry: fundamental fermions as internal forms

Mathematical Physics 2018-06-04 v2 math.MP Quantum Algebra

Abstract

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.

Keywords

Cite

@article{arxiv.1703.05279,
  title  = {The Standard Model in noncommutative geometry: fundamental fermions as internal forms},
  author = {Ludwik Dabrowski and Francesco D'Andrea and Andrzej Sitarz},
  journal= {arXiv preprint arXiv:1703.05279},
  year   = {2018}
}

Comments

18 pages, no figures; v2: minor changes

R2 v1 2026-06-22T18:46:44.052Z