The Paths of Unification In The GUST With The G x G Gauge Groups of E(8) x E(8)

TL;DR

This paper explores unification pathways in heterotic superstring models with G x G gauge groups, demonstrating how they can align the unification scale with the string scale around 5 x 10^17 GeV.

Contribution

It explicitly investigates unification paths in GUST models with G x G gauge symmetry, showing their compatibility with the string scale.

Findings

Unification scale can be consistent with string scale M_SU = g_{string} * 5 x 10^17 GeV

G x G gauge groups facilitate unification pathways in heterotic string models

Explicit analysis of GUST with SU(5) x U(1) x (SU(3) x U(1))_H symmetry.

Abstract

In the framework of the four dimensional heterotic superstring with free fermions we discuss the rank eight and/or sixteen Grand Unified String Theories (GUST) which contain the SU(3)_H - gauge family symmetry. We explicitly investigate the paths of the unification in the GUST with gauge symmetry G x G = [SU(5) x U(1) x (SU(3) x U(1))_H]^2. We show that the GUSTs with the G x G gauge group allow to make the scale of unification to be consistent with the string scale M_SU = g_{string} * 5 * 10^17 GeV.