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

Abstract

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.

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

References in corpus (3)

• Semilocal strings and monopoles
• Vortex Dynamics in Self-Dual Chern-Simons Higgs Systems
• Self-Dual Chern-Simons Solitons in (2+1)-Dimensional Einstein Gravity

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• Bogomolnyi Bound with a Cosmological Constant
• Supermassive screwed cosmic string in dilaton gravity