Integrability and Dif feomorphisms on Target Space
| dc.contributor.affiliation | Universidade de Santiago de Compostela. Departamento de Física de Partículas | gl |
| dc.contributor.author | Adam, Christoph | |
| dc.contributor.author | Sánchez Guillén, Joaquín | |
| dc.contributor.author | Wereszczynski, Andrzej | |
| dc.date.accessioned | 2020-06-06T18:36:16Z | |
| dc.date.available | 2020-06-06T18:36:16Z | |
| dc.date.issued | 2007 | |
| dc.description.abstract | We 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 dif feomorphisms. We classify the possible conservation laws of field theories for the case of a three-dimensional target space. Further, we discuss some explicit examples | gl |
| dc.description.peerreviewed | SI | gl |
| dc.description.sponsorship | A.W. gratefully acknowledges support from Adam Krzyzanowski Fund and Jagiellonian University (grant WRBW 41/07). C.A. and J.S.-G. thank MCyT (Spain) and FEDER (FPA2005- 01963), and support from Xunta de Galicia (grant PGIDIT06PXIB296182PR and Conselleria de Educacion). Further, C.A. acknowledges support from the Austrian START award project FWF-Y-137-TEC and from the FWF project P161 05 NO 5 of N.J. Mauser | gl |
| dc.identifier.citation | Adam, C., Sanchez-Guillen, J., & Wereszczynski, A. (2007). Integrability and Diffeomorphisms on Target Space. Symmetry, Integrability and Geometry: Methods and Applications. 3 (2007), 123, 11 pages | gl |
| dc.identifier.doi | 10.3842/SIGMA.2007.123 | |
| dc.identifier.issn | 1815-0659 | |
| dc.identifier.uri | http://hdl.handle.net/10347/22882 | |
| dc.language.iso | eng | gl |
| dc.publisher | National Academy of Science of Ukraine | gl |
| dc.relation.publisherversion | https://doi.org/10.3842/SIGMA.2007.123 | gl |
| dc.rights | © 2007 Christoph Adam, Joaquin Sanchez-Guillen and Andrzej Wereszczynski. This work was published in SIGMA under the terms of the Creative Commons Attribution-ShareAlike License | gl |
| dc.rights.accessRights | open access | gl |
| dc.rights.uri | https://creativecommons.org/licenses/by-sa/2.0/ | |
| dc.subject | Integrability | gl |
| dc.subject | Zero curvature | gl |
| dc.subject | Conservation laws | gl |
| dc.subject | Nonlinear field theories | gl |
| dc.title | Integrability and Dif feomorphisms on Target Space | gl |
| dc.type | journal article | gl |
| dc.type.hasVersion | VoR | gl |
| dspace.entity.type | Publication | |
| relation.isAuthorOfPublication | 9c15623b-0cca-4a3f-b557-9b2b11d2cd5a | |
| relation.isAuthorOfPublication | 152e8cd3-21ee-40ed-931c-0bb319cd2bb1 | |
| relation.isAuthorOfPublication.latestForDiscovery | 9c15623b-0cca-4a3f-b557-9b2b11d2cd5a |
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