Torus knots as Hopfions

Michikazu Kobayashi; Muneto Nitta

doi:10.1016/j.physletb.2013.12.002

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arXiv · 1304.6021

Torus knots as Hopfions

Michikazu Kobayashi·Muneto Nitta

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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.

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BibTeX RIS

Michikazu Kobayashi, Muneto Nitta. 2013-12-14. Torus knots as Hopfions. https://doi.org/10.1016/j.physletb.2013.12.002

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