Gauge Symmetry Breaking in Matrix Models

TL;DR

This paper explores how matrix models with extra dimensions can naturally produce features of the standard model, including fermion assignments and symmetry breaking, through an emergent noncommutative gauge theory framework.

Contribution

It introduces a novel mechanism using extra matrix dimensions in matrix models to achieve standard model features and symmetry breaking, distinct from traditional noncommutative geometries.

Findings

Features of the standard model can emerge from matrix models.

Extra matrix dimensions facilitate symmetry breaking.

The approach differs from conventional noncommutative geometry models.

Abstract

We argue that some features of the standard model, in particular the fermion assignment and symmetry breaking, can be obtained in matrix model which describes noncommutative gauge theory as well as gravity in an emergent way. The mechanism is based on the presence of some extra (matrix) dimensions. These extra dimensions are different from the usual ones which give to a noncommutative geometry of the Gronewold-Moyal type, and are reminiscent of the Connes-Lott model, although the action is very different.