Integrability from an Abelian Subgroup of the diffeomorphisms group
Abstract
It has been known for some time that for a large class of nonlinear 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 fulfill, it should be useful in the study of those nonlinear field theories.
- Publication:
-
Journal of Mathematical Physics
- Pub Date:
- February 2006
- DOI:
- 10.1063/1.2168400
- arXiv:
- arXiv:hep-th/0511277
- Bibcode:
- 2006JMP....47b2303A
- Keywords:
-
- 11.10.Lm;
- Nonlinear or nonlocal theories and models;
- High Energy Physics - Theory
- E-Print:
- 13 pages, Latex file