Hopf solitons and area-preserving diffeomorphisms of the sphere
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Undergraduate course
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Kluwer Academic Publ
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Article
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Abstract
We consider a (3+1)-dimensional local field theory defined on the sphere S-2. The model possesses exact soliton solutions with nontrivial Hopf topological charges and an infinite number of local conserved currents. We show that the Poisson bracket algebra of the corresponding charges is isomorphic to that of the area-preserving diffeomorphisms of the sphere S-2. We also show that the conserved currents under consideration are the Noether currents associated to the invariance of the Lagrangian under that infinite group of diffeomorphisms. We indicate possible generalizations of the model.
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Keywords
solitons, Hopf topological charge, conserved currents, area-preserving diffeomorphisms
Language
English
Citation
Letters In Mathematical Physics. Dordrecht: Kluwer Academic Publ, v. 55, n. 2, p. 143-148, 2001.
