Dynkin diagram strategy for orbifolding with Wilson lines
Kang-Sin Choi, Kyuwan Hwang, and Jihn E. Kim
TL;DR
This paper introduces a Dynkin diagram-based method to classify gauge group breaking via orbifolding with Wilson lines, enhancing visualization and understanding of symmetry patterns in string theory models.
Contribution
It extends Kac and Peterson's method to incorporate Wilson lines, enabling complete classification and visualization of gauge symmetry breaking in heterotic string models.
Findings
Provides a systematic classification of gauge breaking patterns.
Enables visualization of symmetry origins and patterns.
Facilitates analysis of gauge groups in string compactifications.
Abstract
A simple method for breaking gauge groups by orbifolding is presented. We extend the method of Kac and Peterson to include Wilson lines. The complete classification of the gauge group breaking, e.g. from heterotic string, is now possible. From this Dynkin diagram technique, one can easily visualize the origin and the symmetry pattern of the surviving gauge group.
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