Abelian and non-Abelian Hopfions in all odd dimensions

Abelian and non-Abelian Hopfions in all odd dimensions

We extend the definition of the topological charge pertaining to the CP1 (i.e. O(3)) Skyrme-Fadde'ev Hopfion on 3 to candidates for topological charges of Pn sigma models on 2n+1 for all n. For this, the Abelian composite connections of the Pn sigma models are employed. In higher dimensions (n...

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Veröffentlicht in:Journal of physics. Conference series 2014-10, Vol.544 (1), p.12024-10
Hauptverfasser: Radu, Eugen, Tchrakian, Tigran
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Charge
Concrete construction
Concretes
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Joints
Mathematical models
Physics
Topology
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description We extend the definition of the topological charge pertaining to the CP1 (i.e. O(3)) Skyrme-Fadde'ev Hopfion on 3 to candidates for topological charges of Pn sigma models on 2n+1 for all n. For this, the Abelian composite connections of the Pn 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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subjects Charge
Concrete construction
Concretes
Construction
Joints
Mathematical models
Physics
Topology
title Abelian and non-Abelian Hopfions in all odd dimensions
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