Here the potential is of Higgs type and chosen to produce a Bogomol'nyi model where the energy is bounded from below by a linear combination of the topological degree of the matter fields and the local U(l) charge. Depending on internal parameters, the solutions are solitons or vortices. The topological stability of the solitons is here imphed by the degree of the map S(^3) S(^2), which provides a lower boundon the potential energy of the configuration.
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