Torus knots as Hopfions
High Energy Physics - Theory
2013-12-17 v2 High Energy Physics - Phenomenology
Abstract
We present a direct connection between torus knots and Hopfions by finding stable and static solutions of the extended Faddeev-Skyrme model with a ferromagnetic potential term. (P,Q)--torus knots consisting of |Q| sine-Gordon kink strings twisted P/Q times into the poloidal cycle along the toroidal cycle on a toroidal domain wall carry the Hopf charge PQ, which demonstrates that Hopfions can be further classified according to torus knot type.
Cite
@article{arxiv.1304.6021,
title = {Torus knots as Hopfions},
author = {Michikazu Kobayashi and Muneto Nitta},
journal= {arXiv preprint arXiv:1304.6021},
year = {2013}
}
Comments
6 pages, 4 figures, v2: published version