English

On the finite spectral triple of an almost-commutative geometry

Mathematical Physics 2012-09-20 v4 High Energy Physics - Theory math.MP

Abstract

In this short communication, we examine the relevance of the signature of the space-time metric in the construction of the product of a pseudo-Riemannian spectral triple with a finite triple describing the internal geometry. We obtain arguments favouring the appearance of SU(2) and U(1) as gauge groups in the standard model.

Keywords

Cite

@article{arxiv.1011.4925,
  title  = {On the finite spectral triple of an almost-commutative geometry},
  author = {F. J. Vanhecke and A. R. da Silva and C. Sigaud},
  journal= {arXiv preprint arXiv:1011.4925},
  year   = {2012}
}

Comments

New version with references updated; Brazilian Journal of Physics vol 42, 2012