Coset Space Dimensional Reduction and Wilson Flux Breaking of Ten-Dimensional N=1, E(8) Gauge Theory

TL;DR

This paper explores how ten-dimensional N=1 E(8) gauge theories can be reduced to four-dimensional GUTs using coset space dimensional reduction and Wilson flux breaking, aiming for phenomenologically viable models.

Contribution

It systematically analyzes the resulting four-dimensional gauge theories from E(8) via coset space reduction and Wilson flux, focusing on anomaly-free GUTs like E(6), SO(10), and SU(5).

Findings

Identifies all possible four-dimensional GUTs from E(8) reduction.

Demonstrates the use of Wilson flux for spontaneous symmetry breaking.

Ensures resulting models are anomaly free and phenomenologically interesting.

Abstract

We consider a N=1 supersymmetric E(8) gauge theory, defined in ten dimensions and we determine all four-dimensional gauge theories resulting from the generalized dimensional reduction a la Forgacs-Manton over coset spaces, followed by a subsequent application of the Wilson flux spontaneous symmetry breaking mechanism. Our investigation is constrained only by the requirements that (i) the dimensional reduction leads to the potentially phenomenologically interesting, anomaly free, four-dimensional E(6), SO(10) and SU(5) GUTs and (ii) the Wilson flux mechanism makes use only of the freely acting discrete symmetries of all possible six-dimensional coset spaces.