Skyrmions confined as beads on a vortex ring

Abstract

A very simple, quadratic potential is used to construct vortex strings in a generalized Skyrme model and an additional quadratic potential is used to embed sine-Gordon-type halfkinks onto the string worldline, yielding half-Skyrmions on a string. The strings are furthermore compactified onto a circle and the halfkinks are forced to appear in pairs; in particular 2B halfkinks (half-Skyrmions) will appear as beads on a ring with B being the number of times the host vortex is twisted and also the baryon number (Skyrmion number) from the bulk point of view. Finally, we construct an effective field theory on the torus, describing the kinks living on the vortex rings.

RevTeX: 44 pages, 26 figures; V2: typos corrected

References in corpus (22)

• Stable Skyrmions in SU(2) Gauged Bose-Einstein Condensates
• A BPS Skyrme model and baryons at large Nc
• Josephson vortices and the Atiyah-Manton construction
• States of Carbon-12 in the Skyrme Model
• Correspondence between Skyrmions in 2+1 and 3+1 Dimensions
• Domain wall Skyrmions
• Matryoshka Skyrmions
• Creating vortons and three-dimensional skyrmions from domain wall annihilation with stretched vortices in Bose-Einstein condensates
• Incarnations of Skyrmions
• N=1 supersymmetric extension of the baby Skyrme model
• BPS States in Supersymmetric Chiral Models with Higher Derivative Terms
• Non-Abelian Sine-Gordon Solitons: Correspondence between $SU(N)$ Skyrmions and $\mathbb{C}{P}^{N-1}$ Lumps
• Classifying BPS States in Supersymmetric Gauge Theories Coupled to Higher Derivative Chiral Models
• Fractional Skyrmions and their molecules
• Baryonic torii: Toroidal baryons in a generalized Skyrme model
• Baryon chemical potential and in-medium properties of BPS skyrmions
• Effective field theories on solitons of generic shapes
• Skyrmions in the presence of isospin chemical potential
• D-brane solitons in various dimensions
• Skyrmions, Hadrons and isospin chemical potential
• Skyrme Strings
• On Skyrmion semiclassical quantization in the presence of an isospin chemical potential

Cited by in corpus (4)

• Relations among topological solitons
• Topological solitons in the supersymmetric Skyrme model
• Boundary charges and integral identities for solitons in $(d+1)$-dimensional field theories
• Linked vortices as baryons in the miscible BEC-Skyrme model