Topological and Hopf charges of a twisted Skyrmion string

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.

arXiv comment14 pages, no figure, no table