Defect formation from defect--anti-defect annihilations

Abstract

We show that when a topological defect with extended world-volume annihilates with an anti-defect, there arise topological defects with dimensions less than those of the original defects by one. Domain wall annihilations create vortices while monopole-string annihilations result in instantons. We find that twisted domain wall rings are vortices, whereas twisted monopole rings are instantons.

10 pages, 4 figures, typos corrected, published version. arXiv admin note: substantial text overlap with arXiv:1205.2443

References in corpus (1)

• Instantons in the Higgs Phase

Cited by in corpus (5)

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• Baryonic torii: Toroidal baryons in a generalized Skyrme model
• Instantons confined by monopole strings
• D-brane solitons in various dimensions
• Toroidal domain walls as Hopfions