%0 Journal Article
%T Torus knots as Hopfions
%A Kobayashi
%A Michikazu
%A Nitta
%A Muneto
%J High Energy Physics - Phenomenology
%D 2013
%I 
%X 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.
%U http://arxiv.org/abs/1304.6021