TL;DR
This paper investigates Hopf solitons within the Skyrme-Faddeev model on a 3-sphere, revealing stability properties related to the sphere's radius and providing insights into topological solitons in modified sigma models.
Contribution
It analyzes the stability of Hopf solitons on S^3, showing how the sphere's radius influences soliton stability, thus offering new understanding of topological solutions in the model.
Findings
Hopf map is a solution in the model.
Hopf solitons become unstable when R > √2.
Stability depends on the radius of the 3-sphere.
Abstract
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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