Infinite symmetries in the Skyrme model
High Energy Physics - Theory
2011-07-19 v3 High Energy Physics - Phenomenology
Exactly Solvable and Integrable Systems
Abstract
We show that the Skyrme theory possesses a submodel with an infinite number of local conserved currents. The constraints leading to the submodel explore a decomposition of SU(2) with a complex field parametrizing the symmetric space SU(2)/U(1) and a real field in the direction of U(1). We demonstrate that the Skyrmions of topological charges belong to such integrable sector of the theory. Our results open ways to the development of exact methods, compensating for the non-existence of a BPS type sector in the Skyrme theory.
Cite
@article{arxiv.hep-th/0010168,
title = {Infinite symmetries in the Skyrme model},
author = {L. A. Ferreira and J. Sanchez-Guillen},
journal= {arXiv preprint arXiv:hep-th/0010168},
year = {2011}
}
Comments
9 pages, LaTeX, version to appear in Phys. Lett. B