Domain wall Skyrmions

Abstract

Skyrmions of different dimensions are related by domain walls. We obtain explicit full numerical solutions of various Skyrmion configurations trapped inside a domain wall. We find for the quadratic mass-term that multi-Skyrmions are ring-shaped, and conjecture for the linear mass-term, that the lowest-energy state of multi-Skyrmions will consist of charge-2 rings accommodated in a lattice.

LaTeX: 18 pages, 14 figures; V2: typos corrected

References in corpus (4)

• Josephson vortices and the Atiyah-Manton construction
• Correspondence between Skyrmions in 2+1 and 3+1 Dimensions
• Matryoshka Skyrmions
• Hexagonal Structure of Baby Skyrmion Lattices

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• Non-Abelian Sine-Gordon Solitons: Correspondence between $SU(N)$ Skyrmions and $\mathbb{C}{P}^{N-1}$ Lumps
• Fractional Skyrmions and their molecules
• Baryonic torii: Toroidal baryons in a generalized Skyrme model
• Effective field theories on solitons of generic shapes
• D-brane solitons in various dimensions