Topological and Hopf charges of a twisted Skyrmion string

TL;DR

This paper investigates the topological and Hopf charges of a twisted Skyrmion string within the Skyrme model, demonstrating the existence of Hopf charge in these twisted vortex solutions.

Contribution

It introduces the analysis of Hopf charge in twisted Skyrmion strings, extending the understanding of topological properties in nonlinear sigma models.

Findings

Hopf charge exists in twisted Skyrmion string solutions

Twist term $mkz$ influences topological properties

Topological analysis confirms Hopf charge presence

Abstract

We study nonlinear sigma model, especially Skyrme model with twist (twisted Skyrmion string) where twist term $mkz$ is indicated in vortex solution. We study topological and Hopf charges of a twisted Skyrmion string. We show that the Hopf charge is exist in our twisting solutions like the twisted Skyrmion string.