Grand Gauge-Higgs Unification

TL;DR

This paper introduces a new approach to breaking grand unified gauge symmetries using the Hosotani mechanism in models with chiral fermions, employing a diagonal embedding method inspired by string theory.

Contribution

It demonstrates a novel symmetry-breaking mechanism in grand unified theories with chiral fermions, utilizing the Hosotani mechanism and diagonal embedding in a five-dimensional orbifold model.

Findings

Effective potential similar to S^1 models

Chiral fermions can be incorporated easily

Symmetry breaking achieved via Hosotani mechanism

Abstract

We propose a novel way to break grand unified gauge symmetries via the Hosotani mechanism in models that can accommodate chiral fermions. Adjoint scalar fields are realized through the so-called diagonal embedding method which is often used in the heterotic string theory. We calculate the one-loop effective potential of the adjoint scalar field in a five dimensional model compactified on an S^1/Z_2 orbifold, as an illustration. It turns out that the potential is basically the same as the one in an S^1 model, and thus the results in literatures, in addition to the chiral fermions, can be realized easily.