Skyrmions and Faddeev-Hopf Solitons

Details Skyrmions and Faddeev-Hopf Solitons Skyrmions and Faddeev-Hopf Solitons

2004-07-28

arxiv.org/abs/hep-th/0407245v2

Phys.Rev. D70 (2004) 061701

Physics

High Energy Physics

High Energy Physics - Theory

9 pages, includes 2 eps figures. Typo corrected, reference added, to appear in Phys Rev D

Scientific paper

10.1103/PhysRevD.70.061701

This paper describes a natural one-parameter family of generalized Skyrme systems, which includes the usual SU(2) Skyrme model and the Skyrme-Faddeev system. Ordinary Skyrmions resemble polyhedral shells, whereas the Hopf-type solutions of the Skyrme-Faddeev model look like closed loops, possibly linked or knotted. By looking at the minimal-energy solutions in various topological classes, and for various values of the parameter, we see how the polyhedral Skyrmions deform into loop-like Hopf Skyrmions.

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