Towards classification of SO(10) heterotic string vacua

TL;DR

This paper advances the classification of SO(10) heterotic string vacua using the Free Fermionic Formulation, focusing on phenomenological features and gauge symmetry reductions to Pati-Salam models.

Contribution

It presents a systematic approach to classifying Z2xZ2 heterotic string models with SO(10) symmetry and explores phenomenological constraints for realistic model building.

Findings

Identification of conditions for gauge symmetry breaking to Pati-Salam models.

Constraints on exotic fractionally charged states.

Framework for systematic classification of heterotic string vacua.

Abstract

We report some recent progress towards classification of phenomenologically appealing heterotic string models in the Free Fermionic Formulation. We focus on a class of Z2xZ2 models with SO(10) space-time gauge symmetry and study their main phenomenological aspects. We further consider reducing the gauge symmetry to the Pati-Salam gauge group SU(4)XSU(2)_LxSU(2)_R and impose a series of phenomenological constraints including the existence of gauge symmetry breaking Higgs particles and the elimination of exotic fractionally charged states.