Exact time dependent Hopf solitons in 3+1 dimensions

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2006-03-01

Autores

Ferreira, Luiz Agostinho [UNESP]

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Resumo

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 S2. 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 S2. 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. © SISSA 2006.

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Integrable Field Theories, Integrable Hierarchies, Solitons Monopoles and Instantons

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Journal of High Energy Physics, n. 3, p. 4855-4863, 2006.