Integrability from an abelian subgroup of the diffeomorphism group
Abstract
It has been known for some time that for a large class of non-linear field theories in Minkowski space with two-dimensional target space the complex eikonal equation defines integrable submodels with infinitely many conservation laws. These conservation laws are related to the area-preserving diffeomorphisms on target space. Here we demonstrate that for all these theories there exists, in fact, a weaker integrability condition which again defines submodels with infinitely many conservation laws. These conservation laws will be related to an abelian subgroup of the group of area-preserving diffeomorphisms. As this weaker integrability condition is much easier to fulfil, it should be useful in the study of those non-linear field theories.
Keywords
Cite
@article{arxiv.hep-th/0511277,
title = {Integrability from an abelian subgroup of the diffeomorphism group},
author = {C. Adam and J. Sanchez-Guillen and A. Wereszczynski},
journal= {arXiv preprint arXiv:hep-th/0511277},
year = {2009}
}
Comments
13 pages, Latex file