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arXiv · hep-th/0511277

Integrability from an abelian subgroup of the diffeomorphism group

C. Adam·J. Sanchez-Guillen·A. Wereszczynski
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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.

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C. Adam, J. Sanchez-Guillen, A. Wereszczynski. 2005-11-28. Integrability from an abelian subgroup of the diffeomorphism group. https://doi.org/10.1063/1.2168400

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