SO(3) Gauged Soliton of an O(4) Sigma Model on $R_3$

TL;DR

This paper introduces a new class of stable solitons in an $SO(3)$ gauged $O(4)$ sigma model on three-dimensional space, with topological charge linked to the Baryon number, supported by numerical solutions.

Contribution

It presents the formulation of $SO(3)$ gauged $O(4)$ sigma models with stable solitons and demonstrates their properties, including vanishing magnetic monopole flux and topological stability.

Findings

Existence of stable solitons with Baryon number as topological charge

Numerical integration of equations of motion confirming soliton solutions

Analysis of conserved Baryon current structure

Abstract

Vector $SO(3)$ gauged $O(4)$ sigma models on $\R_3$ are presented. The topological charge supplying the lower bound on the energy and rendering the soliton stable coincides with the Baryon number of the Skyrmion. These solitons have vanishing magnetic monopole flux. To exhibit the existence of such solitons, the equations of motion of one of these models is integrated numerically. The structure of the conserved Baryon current is briefly discussed.