Integrability and Diffeomorphisms on Target Space

dc.creatorAdam, Christoph
dc.creatorSanchez-Guillen, Joaquin
dc.creatorWereszczynski, Andrzej
dc.date2007-12-20
dc.date2007-12-24
dc.date.accessioned2026-07-07T12:19:54Z
dc.date.available2026-07-07T12:19:54Z
dc.descriptionWe briefly review the concepts of generalized zero curvature conditions and integrability in higher dimensions, where integrability in this context is related to the existence of infinitely many conservation laws. Under certain assumptions, it turns out that these conservation laws are, in fact, generated by a class of geometric target space transformations, namely the volume-preserving diffeomorphisms. We classify the possible conservation laws of field theories for the case of a three-dimensional target space. Further, we discuss some explicit examples.
dc.descriptionThis is a contribution to the Proc. of the Seventh International Conference ''Symmetry in Nonlinear Mathematical Physics'' (June 24-30, 2007, Kyiv, Ukraine), published in SIGMA (Symmetry, Integrability and Geometry: Methods and Applications) at http://www.emis.de/journals/SIGMA/
dc.identifierhttps://arxiv.org/abs/0712.3385
dc.identifierhttp://arxiv.org/abs/0712.3385
dc.identifierSIGMA 3:123,2007
dc.identifierdoi:10.3842/SIGMA.2007.123
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/212921
dc.subjectHigh Energy Physics - Theory
dc.titleIntegrability and Diffeomorphisms on Target Space
dc.typetext

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