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25 April 2024
 
  » arxiv » hep-th/0012176

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Hopf solitons and area preserving diffeomorphisms of the sphere
L. A. Ferreira ; A. V. Razumov ;
Date 19 Dec 2000
Journal Lett.Math.Phys. 55 (2001) 143-148
Subject High Energy Physics - Theory; Exactly Solvable and Integrable Systems; Mathematical Physics | hep-th math-ph math.MP nlin.SI
AbstractWe 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.
Source arXiv, hep-th/0012176
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