Self-DUal SU(3) Chern-Simons Higgs Systems

TL;DR

This paper investigates self-dual Chern-Simons Higgs systems with $SU(3)$ symmetry, identifying three degenerate vacua, classifying self-dual solutions, and analyzing their symmetry and particle spectra.

Contribution

It introduces a classification of self-dual configurations in $SU(3)$ Chern-Simons Higgs systems with detailed analysis of vacua and spectra.

Findings

Identified three degenerate vacua with different symmetries

Classified self-dual solutions into three types

Analyzed unbroken symmetries and particle spectra in each vacuum

Abstract

We explore self-dual Chern-Simons Higgs systems with the local $SU(3)$ and global $U(1)$ symmetries where the matter field lies in the adjoint representation. We show that there are three degenerate vacua of different symmetries and study the unbroken symmetry and particle spectrum in each vacuum. We classify the self-dual configurations into three types and study their properties.