Hopf solitons and area preserving diffeomorphisms of the sphere

Details Hopf solitons and area preserving diffeomorphisms of the sphere Hopf solitons and area preserving diffeomorphisms of the sphere

2000-12-19

arxiv.org/abs/hep-th/0012176v1

Lett.Math.Phys.55:143-148,2001

Physics

High Energy Physics

High Energy Physics - Theory

6 pages, LaTeX

Scientific paper

10.1023/A:1010944704177

We consider a (3+1)-dimensional local field theory defined on the sphere. The model possesses exact soliton solutions with non trivial Hopf topological charges, and 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. 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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