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arXiv · hep-th/0601235

Exact time dependent Hopf solitons in 3+1 dimensions

L. A. Ferreira
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Abstract

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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BibTeXRIS

L. A. Ferreira. 2006-02-07. Exact time dependent Hopf solitons in 3+1 dimensions. https://doi.org/10.1088/1126-6708%2F2006%2F03%2F075

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