Hopf solitons on compact manifolds

Ward, R.S.

doi:10.1063/1.5006891

Hopf solitons on compact manifolds

Ward, R.S.

Authors

R.S. Ward

Abstract

Hopf solitons in the Skyrme-Faddeev system on R3 typically have a complicated structure, in particular when the Hopf number Q is large. By contrast, if we work on a compact 3-manifold M, and the energy functional consists only of the Skyrme term (the strong-coupling limit), then the picture simplifies. There is a topological lower bound E ≥ Q on the energy, and the local minima of E can look simple even for large Q. The aim here is to describe and investigate some of these solutions, when M is S3, T3, or S2 × S1. In addition, we review the more elementary baby-Skyrme system, with M being S2 or T2.

Citation

Ward, R. (2018). Hopf solitons on compact manifolds. Journal of Mathematical Physics, 59(2), Article 022904. https://doi.org/10.1063/1.5006891

Journal Article Type	Article
Acceptance Date	Feb 1, 2018
Online Publication Date	Feb 20, 2018
Publication Date	Feb 20, 2018
Deposit Date	Feb 5, 2018
Publicly Available Date	Feb 7, 2018
Journal	Journal of Mathematical Physics
Print ISSN	0022-2488
Electronic ISSN	1089-7658
Publisher	American Institute of Physics
Peer Reviewed	Peer Reviewed
Volume	59
Issue	2
Article Number	022904
DOI	https://doi.org/10.1063/1.5006891
Related Public URLs	https://arxiv.org/abs/1802.00657

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Copyright Statement
© 2018 American Institute of Physics. This article may be downloaded for personal use only. Any other use requires prior permission of the author and the American Institute of Physics. The following article appeared in Ward, R.S. (2018). Hopf solitons on compact manifolds. Journal of Mathematical Physics 59(2): 022904 and may be found at https://doi.org/10.1063/1.5006891