Charged Topological Solitons in 4+1 Dimensional YMCS Theory

TL;DR

Adding a Chern-Simons term to 5D SU(N) Yang-Mills theory causes the self-dual topological solitons to acquire a topological electric charge, revealing new charged soliton solutions.

Contribution

This work demonstrates that Chern-Simons terms induce electric charge in topological solitons within 5D Yang-Mills theories, a novel insight into their properties.

Findings

Self-dual solitons gain electric charge due to Chern-Simons term.

Charged topological solitons are a direct consequence of the added term.

The results extend understanding of soliton solutions in higher-dimensional gauge theories.

Abstract

We show that when a Chern-Simons term is added to the action of $SU(N)$ ($N\geq 3$) Yang-Mills theory in 5 dimensions the usual self-dual topological solitons present in the theory necessarily pick up a (topological) electric charge.