Hopf solitons on S3 and R3.

Ward, R.

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 if R > √2.

Citation

Ward, R. (1999). Hopf solitons on S3 and R3. Nonlinearity, 12(2), 241-246. https://doi.org/10.1088/0951-7715/12/2/005

• Journal Article Type: Article
• Publication Date: 1999-03
• Journal: Nonlinearity
• Print ISSN: 0951-7715
• Electronic ISSN: 1361-6544
• Publisher: IOP Publishing
• Volume: 12
• Issue: 2
• Pages: 241-246
• DOI: https://doi.org/10.1088/0951-7715/12/2/005
• Public URL: https://durham-repository.worktribe.com/output/1602507