Semilocal strings and monopoles.

Mathematics

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Scientific paper

A variation on the abelian Higgs model, with SU(2)global×U(1)local symmetry broken to U(1)global, was recently shown by Vachaspati and Achucarro to admit stable, finite energy cosmic string solutions even though the manifold of minima of the potential energy does not have non-contractible loops. Here the most general solutions, both in the single vortex case and the multi-vortex case are described in the Bogomol'nyi limit. The gravitational field of the vortices considered as cosmic strings is also obtained. Finally, monopole-like solutions interpolating between a Dirac monopole and a global monopole surrounded by an event horizon are found.

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