Systematic Investigations of the Free Fermionic Heterotic String Gauge Group Statistics: Layer 1 Results

TL;DR

This paper systematically constructs and analyzes gauge group statistics of free fermionic heterotic string models up to order 22, providing insights into gauge content distributions and redundancies in model building.

Contribution

It introduces a comprehensive construction method for layer 1 heterotic string models and analyzes gauge group statistics, including redundancies and frequency of gauge group combinations.

Findings

Distribution of gauge group factors in models

Occurrence rates of GUT groups

Redundancies in the model construction process

Abstract

Using software under development at Baylor University, we explicitly construct all layer 1 gauge, weakly coupled free fermionic heterotic string models up to order 22 in four large space-time dimensions. The gauge models consist primarily of gauge content making a systematic construction process efficient. We present an overview of the model building procedure, redundancies in the process, methods used to reduce such redundancies and statistics regarding the occurrence of various combinations of gauge group factors and GUT groups. Statistics for both N=4 and N=0 models are presented.