Exact time dependent Hopf solitons in 3+1 dimensions

Details Exact time dependent Hopf solitons in 3+1 dimensions Exact time dependent Hopf solitons in 3+1 dimensions

2006-01-31

arxiv.org/abs/hep-th/0601235v2

JHEP 0603 (2006) 075

Physics

High Energy Physics

High Energy Physics - Theory

4 pages revtex, 2 eps figures, replaced with one reference added

Scientific paper

10.1088/1126-6708/2006/03/075

We construct an infinite number of exact time dependent soliton solutions, carrying non-trivial Hopf topological charges, in a 3+1 dimensional Lorentz invariant theory with target space S^2. The construction is based on an ansatz which explores the invariance of the model under the conformal group SO(4,2) and the infinite dimensional group of area preserving diffeomorphisms of S^2. The model is a rare example of an integrable theory in four dimensions, and the solitons may play a role in the low energy limit of gauge theories.

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