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 (8)

• Tachyon Dynamics in Open String Theory
• Vortices, Instantons and Branes
• Semilocal and Electroweak Strings
• Nonabelian Superconductors: Vortices and Confinement in $\mathcal{N}=2$ SQCD
• Moduli Space of Non-Abelian Vortices
• Monopoles in the Higgs Phase
• Instantons in the Higgs Phase
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Cited by in corpus (15)

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• Incarnations of Skyrmions
• Fractional instantons and bions in the O(N) model with twisted boundary conditions
• Domain Wall Skyrmions in Chiral Magnets
• Fractional vortex molecules and vortex polygons in a baby Skyrme model
• Baryonic torii: Toroidal baryons in a generalized Skyrme model
• Winding Hopfions on R^2 x S^1
• Chiral Magnets from String Theory
• Instantons confined by monopole strings
• D-brane solitons in various dimensions
• Incarnations of Instantons
• Toroidal domain walls as Hopfions
• Knotted instantons from annihilations of monopole-instanton complex
• Topological Soliton with Nonzero Hopf Invariant in Yang-Mills-Higgs Model