A first integration of some knot soliton models

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dc.creatorAdam, C.
dc.creatorSanchez-Guillen, J.
dc.creatorWereszczynski, A.
dc.date2007-10-31
dc.date.accessioned2026-07-07T11:12:49Z
dc.date.available2026-07-07T11:12:49Z
dc.descriptionRecently it has been shown that there exists a sector within the Faddeev-Niemi model for which the equations of motion may be reduced to first order equations. However, no solutions to that sector have been given. It is not even known whether this sector contains topologically nontrivial solutions, at all. Here, we show that two models with analytically known Hopf solitons, namely the Nicole and the Aratyn-Ferreira-Zimerman models, possess sectors which can be integrated to first order partial differential equations. The main result is that these sectors are topologically nontrivial. In fact, all analytically known hopfions belong to them.
dc.identifierhttps://arxiv.org/abs/0710.5866
dc.identifierhttp://arxiv.org/abs/0710.5866
dc.identifierPhys.Lett.B659:761-767,2008
dc.identifierdoi:10.1016/j.physletb.2007.11.089
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/191507
dc.subjectHigh Energy Physics - Theory
dc.titleA first integration of some knot soliton models
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