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arXiv · 1710.01250

Topological and Hopf charges of a twisted Skyrmion string

Malcolm Anderson·Miftachul Hadi·Andri Husein
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Abstract

We examine nonlinear sigma models, in particular the Skyrme model with a twist (the twisted Skyrmion string), which comprises a vortex solution with an added dependence on a twist term $mkz$, where $z$ is the vertical coordinate. The topological and Hopf charges of a twisted Skyrmion string are calculated and are shown to be equivalent to the winding number $n$ of the vortex and proportional to $nmk$, respectively. The principle of conservation of the Hopf charge, which is a standard property of the baby Skyrmion model, is generalised to cover the non-compact twisting solutions studied here.

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Malcolm Anderson, Miftachul Hadi, Andri Husein. 2017-09-28. Topological and Hopf charges of a twisted Skyrmion string. https://arxiv.org/abs/1710.01250

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