Gauge Models in D Dimensions

TL;DR

This paper systematically constructs and analyzes gauge models in various dimensions using the Gauge Framework, providing statistical insights into their gauge group structures within the string landscape.

Contribution

It introduces a comprehensive method to explicitly build all layer 1 WCFFHS gauge models up to order 32 across multiple dimensions, aiding large-scale landscape studies.

Findings

Gauge group statistics for supersymmetric models

Gauge group statistics for non-supersymmetric models

Models are suitable for large-scale surveys but limited phenomenological relevance

Abstract

Utilizing the Gauge Framework, software under development at Baylor University, we explicitly construct all layer 1 weakly coupled free fermionic heterotic string (WCFFHS) gauge models up to order 32 in four to ten large spacetime dimensions. These gauge models are well suited to large scale systematic surveys and, while they offer little phenomenologically, are useful for understanding the structure of the WCFFHS region of the string landscape. Herein we present the gauge groups statistics for this swath of the landscape for both supersymmetric and non-supersymmetric models.