Vortices in Bogomol'nyi Limit of Einstein Maxwell Higgs Theory with or without External Sources

Details Vortices in Bogomol'nyi Limit of Einstein Maxwell Higgs Theory with or without External Sources Vortices in Bogomol'nyi Limit of Einstein Maxwell Higgs Theory with or without External Sources

1994-01-24

arxiv.org/abs/hep-th/9401113v2

Phys.Rev.D50:1040-1050,1994

Physics

High Energy Physics

High Energy Physics - Theory

LaTeX, 23 pages, 10 LaTeX figures included, KHTP-93-05, SNUTP-93-100, DPNU-93-46. (A note and several references added)

Scientific paper

10.1103/PhysRevD.50.1040

The Abelian Higgs model with or without external particles is considered in curved space. Using the dual transformation, we rewrite the model in terms of dual gauge fields and derive the Bogomol'nyi-type bound. We examine cylindrically symmetric solutions to Einstein equations and the first-order Bogomol'nyi equations, and find vortex solutions and vortex-particle composites which lie on the spatial manifold with global geometry described by a cylinder asymptotically or a two sphere in addition to the well-known cone.

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