Critical Wilson Lines in Toroidal Compactifications of Heteroric Strings

TL;DR

This paper systematically constructs critical Wilson lines and background fields for toroidal heterotic string compactifications using Dynkin diagrams, advancing understanding of string background moduli.

Contribution

It introduces a systematic method to determine critical Wilson lines and backgrounds in heterotic strings via Dynkin diagram techniques.

Findings

Identifies critical Wilson lines for heterotic compactifications.

Provides a systematic construction method using Dynkin diagrams.

Enhances understanding of string background moduli space.

Abstract

Critical values of Wilson lines and general background fields for toroidal compactifications of heterotic string theories are constructed systematically using Dynkin diagrams.