Infinite symmetries in the Skyrme model
نویسندگان
چکیده
We show that the Skyrme theory possesses a submodel with an infinite number of local conserved currents. The Skyrmions of unit topological charge belong to such integrable sector of the theory. 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). The higher charges configurations constructed through rational map Ansätze, are particular solutions of the constraints. 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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