Spinning Hopf solitons on S-3 x R

• Autor(a) principal: do Bonfim, ACR
• Data de Publicação: 2006
• Outros Autores: Ferreira, L. A.
• Tipo de documento: Artigo
• Idioma: eng
• Título da fonte: Repositório Institucional da UNESP
• Texto Completo: http://arxiv.org/abs/hep-th/0602234; http://hdl.handle.net/11449/23556
• topic: integrable field theories; integrable hierarchies; sigma models

We consider a field theory with target space being the two dimensional sphere S-2 and defined on the space-time S-3 x R. The Lagrangean is the square of the pull-back of the area form on S-2. It is invariant under the conformal group SO(4, 2) and the infinite dimensional group of area preserving diffeomorphisms of S-2. We construct an infinite number of exact soliton solutions with non-trivial Hopf topological charges. The solutions spin with a frequency which is bounded above by a quantity proportional to the inverse of the radius of S-3. The construction of the solutions is made possible by an ansatz which explores the conformal symmetry and a U(1) subgroup of the area preserving diffeomorphism group.