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Hopf Solitons and Area-Preserving Diffeomorphisms of the Sphere

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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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Authors and Affiliations

  1. Instituto de Física Teoacute;rica – IFT/UNESP, Rua Pamplona, 145, 01405-900, São Paulo – SP, Brazil

    L. A. Ferreira

  2. Institute for High Energy Physics, 142280, Protvino, Moscow Region, Russia

    A. V. Razumov

Authors
  1. L. A. Ferreira
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  2. A. V. Razumov
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Ferreira, L.A., Razumov, A.V. Hopf Solitons and Area-Preserving Diffeomorphisms of the Sphere. Letters in Mathematical Physics 55, 143–148 (2001). https://doi.org/10.1023/A:1010944704177

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