Instantons confined by monopole strings

Abstract

It is known that monopoles can be confined by vortex-strings in d=3+1 while vortices can be confined by domain-lines in d=2+1. Here, as a higher dimensional generalization of these, we show that Yang-Mills instantons can be confined by monopole-strings in d=4+1. We achieve this by putting the system into the Higgs phase in which the configuration can be constructed inside a non-Abelian vortex sheet.

15 pages, 2 figures, v2: published version

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Cited by in corpus (15)

• Matryoshka Skyrmions
• Jewels on a wall ring
• Incarnations of Skyrmions
• Torus knots as Hopfions
• Non-Abelian Sine-Gordon Solitons
• Fractional instantons and bions in the O(N) model with twisted boundary conditions
• Relations among topological solitons
• Domain Wall Skyrmions in Chiral Magnets
• Fractional vortex molecules and vortex polygons in a baby Skyrme model
• Josephson junction of non-Abelian superconductors and non-Abelian Josephson vortices
• Winding Hopfions on R^2 x S^1
• Josephson instantons and Josephson monopoles in a non-Abelian Josephson junction
• D-brane solitons in various dimensions
• Incarnations of Instantons
• Topological Soliton with Nonzero Hopf Invariant in Yang-Mills-Higgs Model