Hopf Solitons on S^3 and R^3

Details Hopf Solitons on S^3 and R^3 Hopf Solitons on S^3 and R^3

1998-11-19

arxiv.org/abs/hep-th/9811176v1

Physics

High Energy Physics

High Energy Physics - Theory

9 pages, plainTeX, to appear in Nonlinearity

Scientific paper

10.1088/0951-7715/12/2/005

The Skyrme-Faddeev system, a modified O(3) sigma model in three space
dimensions, admits topological solitons with nonzero Hopf number. One may learn
something about these solitons by considering the system on the 3-sphere of
radius R. In particular, the Hopf map is a solution which is unstable for R >
\sqrt{2}.

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