Incarnations of Skyrmions

Abstract

Skyrmions can be transformed into lumps or baby-Skyrmions by being trapped inside a domain wall. Here we find that they can also be transformed into sine-Gordon kinks when confined by vortices, resulting in confined Skyrmions. We show this both by an effective field theory approach and by direct numerical calculations. The existence of these trapped and confined Skyrmions does not rely on higher-derivative terms when the host solitons are flat or straight. We also construct a Skyrmion as a twisted vortex ring in a model with a sixth-order derivative term.

RevTeX: 27 pages, 8 figures; V2: reference added

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Cited by in corpus (13)

• Integrability and chemical potential in the (3+1)-dimensional Skyrme model
• Non-Abelian Sine-Gordon Solitons
• Fractional instantons and bions in the O(N) model with twisted boundary conditions
• Non-Abelian Sine-Gordon Solitons: Correspondence between $SU(N)$ Skyrmions and $\mathbb{C}{P}^{N-1}$ Lumps
• Relations among topological solitons
• Analytic topologically non-trivial solutions of the (3+1)-dimensional $U(1)$ gauged Skyrme model and extended duality
• Fractional Skyrmions and their molecules
• Topological solitons in the supersymmetric Skyrme model
• Baryonic torii: Toroidal baryons in a generalized Skyrme model
• Baryon chemical potential and in-medium properties of BPS skyrmions
• Skyrmions confined as beads on a vortex ring
• D-brane solitons in various dimensions
• Linked vortices as baryons in the miscible BEC-Skyrme model