# Cho decomposition, Abelian gauge fixing and monopoles in G(2) Yang-Mills theory

## TL;DR

This paper extends the Cho decomposition method to G(2) gauge theory, studying monopoles through subgroup analysis and Abelian gauge fixing, revealing consistent results and deepening understanding of monopole structures in G(2).

## Contribution

It introduces a novel extension of Cho decomposition to G(2) and relates monopole charges to root vectors, providing new insights into G(2) monopoles.

## Key findings

- G(2) monopoles are characterized via subgroup analysis.
- Results from Abelian gauge fixing agree with Cho decomposition.
- Group theoretical relations connect root vectors to magnetic charges.

## Abstract

By extending the Cho decomposition method to G(2) gauge group, monopoles of this group are studied. Since SU(2) and SU(3) are subgroups of G(2), discussions are done mostly based on these subgroups of G(2). A direct relation between root vectors of G(2) and the associated magnetic charges is presented by group theoretical issues. In addition, G(2) monopoles are obtained by an Abelian gauge fixing method, and it is shown that the results agree with the ones we obtain by the Cho decomposition method.