Almost-Commutative Geometries Beyond the Standard Model II: New Colours

TL;DR

This paper extends the standard model within the framework of almost-commutative geometries, introducing new fermions and gauge groups, and explores implications for grand unification.

Contribution

It proposes a non-minimal extension of the standard model with additional fermions and gauge groups within the almost-commutative geometric framework.

Findings

Introduction of two new fermions with opposite charges

Presence of a new colour-like gauge group

Grand unification is not mandated by the spectral action

Abstract

We will present an extension of the standard model of particle physics in its almost-commutative formulation. This extension is guided by the minimal approach to almost-commutative geometries employed in [13], although the model presented here is not minimal itself. The corresponding almost-commutative geometry leads to a Yang-Mills-Higgs model which consists of the standard model and two new fermions of opposite electro-magnetic charge which may possess a new colour like gauge group. As a new phenomenon, grand unification is no longer required by the spectral action.