Integrability and Diffeomorphisms on Target Space

Details Integrability and Diffeomorphisms on Target Space Integrability and Diffeomorphisms on Target Space

2007-12-20

arxiv.org/abs/0712.3385v2

SIGMA 3:123,2007

Physics

High Energy Physics

High Energy Physics - Theory

This is a contribution to the Proc. of the Seventh International Conference ''Symmetry in Nonlinear Mathematical Physics'' (Ju

Scientific paper

10.3842/SIGMA.2007.123

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.

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