TY - JOUR
T1 - Torus knots as Hopfions
AU - Kobayashi, Michikazu
AU - Nitta, Muneto
N1 - Funding Information:
We would like to thank the organizers of the “Quantized Flux in Tightly Knotted and Linked Systems” conference held December 3–7, 2012 at Isaac Newton Institute for Mathematical Sciences, where the present study was initiated. The present study was supported in part by Grants-in-Aid for Scientific Research (Grants No. 22740219 (M.K.) and Nos. 23740198 and 25400268 (M.N.)) and the M.N. was also supported by a Grant-in-Aid for Scientific Research on Innovative Areas (“Topological Quantum Phenomena”) (No. 23103515 and 25103720 ) from the Ministry of Education, Culture, Sports, Science and Technology (MEXT) of Japan . MK thanks the Supercomputer Center, the Institute for Solid State Physics, the University of Tokyo for the use of the facilities.
PY - 2014
Y1 - 2014
N2 - 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 P Q, which demonstrates that Hopfions can be further classified according to torus knot type.
AB - 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 P Q, which demonstrates that Hopfions can be further classified according to torus knot type.
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U2 - 10.1016/j.physletb.2013.12.002
DO - 10.1016/j.physletb.2013.12.002
M3 - Article
AN - SCOPUS:84891866919
SN - 0370-2693
VL - 728
SP - 314
EP - 318
JO - Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics
JF - Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics
ER -