Gauge Symmetries in Heterotic Asymmetric Orbifolds

TL;DR

This paper classifies specific heterotic asymmetric orbifold models using lattice engineering, focusing on (22,6)-dimensional Narain lattices with non-Abelian gauge factors, and analyzes their gauge symmetry breaking patterns.

Contribution

It introduces a classification method for (22,6)-dimensional Narain lattices with non-Abelian factors in heterotic asymmetric orbifolds and computes their gauge symmetry breaking patterns.

Findings

Classified (22,6)-dimensional Narain lattices suitable for Z3 asymmetric orbifolds.

Identified gauge symmetry breaking patterns in these models.

Provided a systematic approach for constructing heterotic asymmetric orbifold models.

Abstract

We study heterotic asymmetric orbifold models. By utilizing the lattice engineering technique, we classify (22,6)-dimensional Narain lattices with right-moving non-Abelian group factors which can be starting points for Z3 asymmetric orbifold construction. We also calculate gauge symmetry breaking patterns.