Fuzzy extra dimensions and particle physics models

TL;DR

This paper explores constructing particle physics models using fuzzy extra dimensions within four-dimensional field theories, emphasizing spontaneous symmetry breaking to generate higher-dimensional structures and realistic particle spectra.

Contribution

It introduces a bottom-up approach to realize fuzzy extra dimensions in 4D theories, enabling the development of particle physics models with realistic spectra.

Findings

Demonstrates how fuzzy extra dimensions can emerge via spontaneous symmetry breaking.

Provides methods to achieve realistic particle spectra in this framework.

Lays groundwork for future model building with fuzzy geometries.

Abstract

In the present contribution the construction of particle physics models in theories with fuzzy extra dimensions is discussed. We focus on a bottom-up approach where the structure of a higher-dimensional theory arises within ordinary four-dimensional field theory via an appropriate mechanism based on spontaneous symmetry breaking. Subsequently, possible ways to obtain particle physics models with realistic spectrum in this framework are exhibited.