Topological Electropoles in 4+1 Dimensional EYMCS Theory

TL;DR

This paper presents explicit solutions in 4+1 dimensional EYMCS theory that describe topological solitons with non-Abelian electric charge, confirming a conjecture about their stabilization without gravity.

Contribution

It provides the first explicit solutions of topological electropoles in 4+1 dimensions within EYMCS theory, demonstrating their stability without gravitational effects.

Findings

Explicit topological soliton solutions in 4+1D EYMCS

Verification of stabilization conjecture for charged configurations

Non-Abelian topological electric charge in exact solutions

Abstract

A class of explicit exact solutions of Einstein Yang Mills Chern Simons (EYMCS) theory corresponding to topological solitons carrying non-Abelian topological electric charge is obtained. This verifies a conjecture made in Ref.[1,2] regarding the stabilization of the corresponding charged configurations in the theory without gravity .