Infinite symmetries in the Skyrme model

Details Infinite symmetries in the Skyrme model Infinite symmetries in the Skyrme model

2000-10-19

arxiv.org/abs/hep-th/0010168v3

Phys.Lett.B504:195-200,2001

Physics

High Energy Physics

High Energy Physics - Theory

9 pages, LaTeX, version to appear in Phys. Lett. B

Scientific paper

10.1016/S0370-2693(01)00280-5

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 $\pm 1$ 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.

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