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arXiv · hep-th/0010168

Infinite symmetries in the Skyrme model

L. A. Ferreira·J. Sanchez-Guillen
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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 $\pm 1$ 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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L. A. Ferreira, J. Sanchez-Guillen. 2000-12-14. Infinite symmetries in the Skyrme model. https://doi.org/10.1016/s0370-2693(01)00280-5

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