Superconnections and Matter

TL;DR

This paper extends the superconnection formalism to include matter fields, specifically leptons and right-handed neutrinos, offering an alternative approach to the Standard Model that accommodates neutrino masses.

Contribution

It introduces matter fields into the superconnection framework, extending the Standard Model to include right-handed neutrinos and finite neutrino masses.

Findings

Inclusion of right-handed neutrinos in the superconnection formalism.

Extension of the Standard Model to account for neutrino masses.

Provides an alternative to non-commutative geometry approaches.

Abstract

In a previous paper (hep-th/9801040), the superconnection formalism was used to fit the Higgs field into a U(n) gauge theory with particular emphasis on the n=2 case, aiming at the reconstruction of certain parts of the Standard Model. The approach provides an alternative to the one bases on non-commutative geometry. This work is continued by including matter fields (leptons only). We extend the Standard Model by including the right-handed neutrino field. The possibility of a finite neutrino mass is thus accounted for.