Conservation laws in Skyrme-type models

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dc.creatorAdam, C.
dc.creatorSanchez-Guillen, J.
dc.creatorWereszczynski, A.
dc.date2006-10-20
dc.date2008-02-15
dc.date.accessioned2026-07-07T11:28:04Z
dc.date.available2026-07-07T11:28:04Z
dc.descriptionThe zero curvature representation of Zakharov and Shabat has been generalized recently to higher dimensions and has been used to construct non-linear field theories which either are integrable or contain integrable submodels. The Skyrme model, for instance, contains an integrable subsector with infinitely many conserved currents, and the simplest Skyrmion with baryon number one belongs to this subsector. Here we use a related method, based on the geometry of target space, to construct a whole class of theories which are either integrable or contain integrable subsectors (where integrability means the existence of infinitely many conservation laws). These models have three-dimensional target space, like the Skyrme model, and their infinitely many conserved currents turn out to be Noether currents of the volume-preserving diffeomorphisms on target space. Specifically for the Skyrme model, we find both a weak and a strong integrability condition, where the conserved currents form a subset of the algebra of volume-preserving diffeomorphisms in both cases, but this subset is a subalgebra only for the weak integrable submodel.
dc.descriptionLatex file, 22 pages. Two (insignificant) errors in Eqs. 104-106 corrected
dc.identifierhttps://arxiv.org/abs/hep-th/0610227
dc.identifierhttp://arxiv.org/abs/hep-th/0610227
dc.identifierJ.Math.Phys.48:032302,2007
dc.identifierdoi:10.1063/1.2710652
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/196324
dc.subjectHigh Energy Physics - Theory
dc.titleConservation laws in Skyrme-type models
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