Integrability and Dif feomorphisms on Target Space
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| Title: | Integrability and Dif feomorphisms on Target Space |
| Author: | Adam, Christoph Sánchez Guillén, Joaquín Wereszczynski, Andrzej |
| Affiliation: | Universidade de Santiago de Compostela. Departamento de Física de Partículas |
| Subject: | Integrability | Zero curvature | Conservation laws | Nonlinear field theories | |
| Date of Issue: | 2007 |
| Publisher: | National Academy of Science of Ukraine |
| 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 |
| 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 |
| Publisher version: | https://doi.org/10.3842/SIGMA.2007.123 |
| URI: | http://hdl.handle.net/10347/22882 |
| DOI: | 10.3842/SIGMA.2007.123 |
| ISSN: | 1815-0659 |
| 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 |
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Except where otherwise noted, this item's license is described as © 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