Integrability and Diffeomorphisms on Target Space
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 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.
Cite
@article{arxiv.0712.3385,
title = {Integrability and Diffeomorphisms on Target Space},
author = {Christoph Adam and Joaquin Sanchez-Guillen and Andrzej Wereszczynski},
journal= {arXiv preprint arXiv:0712.3385},
year = {2008}
}
Comments
This 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/