Winding Hopfions on R2×S1

Michikazu Kobayashi; Muneto Nitta

doi:10.1016/j.nuclphysb.2013.08.012

Winding Hopfions on R²×S¹

Michikazu Kobayashi, Muneto Nitta

Faculty of Business and Commerce

Research output: Contribution to journal › Article › peer-review

14 Citations (Scopus)

Abstract

We study Hopfions in the Faddeev-Skyrme model with potential terms on R²×S¹. Apart from the conventional Hopfions, there exist winding Hopfions, that is, the lump (baby Skyrmion) strings with the lump charge Q with the U(1) modulus twisted P times along S¹, having the Hopf charge PQ. We consider two kinds of potential terms, that is, the potential linear in the field and the ferromagnetic potential with two easy axes, and present stable solutions numerically. We also point out that a Q-lump carries the unit Hopf charge per the period in d=2+1.

Original language	English
Pages (from-to)	605-618
Number of pages	14
Journal	Nuclear Physics B
Volume	876
Issue number	2
DOIs	https://doi.org/10.1016/j.nuclphysb.2013.08.012
Publication status	Published - 2013 Nov 11

ASJC Scopus subject areas

Nuclear and High Energy Physics

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10.1016/j.nuclphysb.2013.08.012

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title = "Winding Hopfions on R2×S1",

abstract = "We study Hopfions in the Faddeev-Skyrme model with potential terms on R2×S1. Apart from the conventional Hopfions, there exist winding Hopfions, that is, the lump (baby Skyrmion) strings with the lump charge Q with the U(1) modulus twisted P times along S1, having the Hopf charge PQ. We consider two kinds of potential terms, that is, the potential linear in the field and the ferromagnetic potential with two easy axes, and present stable solutions numerically. We also point out that a Q-lump carries the unit Hopf charge per the period in d=2+1.",

author = "Michikazu Kobayashi and Muneto Nitta",

note = "Funding Information: We thank the organizers of the conference “Quantized Flux in Tightly Knotted and Linked Systems,” held in 3–7 December 2012 at Isaac Newton Institute for Mathematical Sciences, where this work was initiated. We would like to thank Paul Sutcliffe for useful comments. This work is supported in part by Grant-in-Aid for Scientific Research (Grant No. 22740219 (M.K.), and No. 23740198 and No. 25400268 (M.N.)). The work of M.N. is also supported in part by the “Topological Quantum Phenomena” Grant-in-Aid for Scientific Research on Innovative Areas (No. 23103515 and No. 25103720 ) from the Ministry of Education, Culture, Sports, Science and Technology (MEXT) of Japan .",

year = "2013",

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doi = "10.1016/j.nuclphysb.2013.08.012",

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AU - Kobayashi, Michikazu

AU - Nitta, Muneto

N1 - Funding Information: We thank the organizers of the conference “Quantized Flux in Tightly Knotted and Linked Systems,” held in 3–7 December 2012 at Isaac Newton Institute for Mathematical Sciences, where this work was initiated. We would like to thank Paul Sutcliffe for useful comments. This work is supported in part by Grant-in-Aid for Scientific Research (Grant No. 22740219 (M.K.), and No. 23740198 and No. 25400268 (M.N.)). The work of M.N. is also supported in part by the “Topological Quantum Phenomena” Grant-in-Aid for Scientific Research on Innovative Areas (No. 23103515 and No. 25103720 ) from the Ministry of Education, Culture, Sports, Science and Technology (MEXT) of Japan .

PY - 2013/11/11

Y1 - 2013/11/11

N2 - We study Hopfions in the Faddeev-Skyrme model with potential terms on R2×S1. Apart from the conventional Hopfions, there exist winding Hopfions, that is, the lump (baby Skyrmion) strings with the lump charge Q with the U(1) modulus twisted P times along S1, having the Hopf charge PQ. We consider two kinds of potential terms, that is, the potential linear in the field and the ferromagnetic potential with two easy axes, and present stable solutions numerically. We also point out that a Q-lump carries the unit Hopf charge per the period in d=2+1.

AB - We study Hopfions in the Faddeev-Skyrme model with potential terms on R2×S1. Apart from the conventional Hopfions, there exist winding Hopfions, that is, the lump (baby Skyrmion) strings with the lump charge Q with the U(1) modulus twisted P times along S1, having the Hopf charge PQ. We consider two kinds of potential terms, that is, the potential linear in the field and the ferromagnetic potential with two easy axes, and present stable solutions numerically. We also point out that a Q-lump carries the unit Hopf charge per the period in d=2+1.

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Winding Hopfions on R²×S¹

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