Journal
JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL
Volume 43, Issue 34, Pages -Publisher
IOP PUBLISHING LTD
DOI: 10.1088/1751-8113/43/34/345402
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Funding
- Ministry of Science and Investigation (Spain) [FPA2008-01177]
- Xunta de Galicia [INCITE09.296.035PR]
- Conselleria de Educacion
- Ministry of Science and Higher Education of Poland [N N202 126735]
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The strongly coupled limit of the Skyrme-Faddeev-Niemi model (i.e. without quadratic kinetic term) with a potential is considered on the spacetime S(3) x R. For one-vacuum potentials two types of exact Hopf solitons are obtained. Depending on the value of the Hopf index, we find compact or non-compact hopfions. The compact hopfions saturate a Bogomolny bound and lead to a fractional energy-charge formula E similar to vertical bar Q vertical bar(1/2), whereas the non-compact solitons do not saturate the bound and give E similar to vertical bar Q vertical bar. In the case of potentials with two vacua compact shell-like hopfions are derived. Some remarks on the influence of the potential on topological solutions in the full Skyrme-Faddeev-Niemi model or in the (3 + 1) Minkowski space are also made.
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