Abelian and non-Abelian Hopfions in all odd dimensions
نویسندگان
چکیده
We extend the definition of the topological charge pertaining to the CP (i.e. O(3)) Skyrme-Fadde’ev Hopfion on IR, to candidates for topological charges of CP sigma models on IR, for all n. For this, the Abelian composite connections of the CP sigma models are employed. In higher dimensions (n ≥ 1) it turns out that such charges, described by the nonAbelian composite connections of suitable Grassmannian sigma models, can also be constructed. A concrete discussion of the non-Abelian case for n = 2 is presented.
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