Matryoshka Skyrmions

Abstract

We construct a stable Skyrmion in 3+1 dimensions as a sine-Gordon kink inside a domain wall within a domain wall in an O(4) sigma model with hierarchical mass terms without the Skyrme term. We also find that higher dimensional Skyrmions can stably exist with a help of non-Abelian domain walls in an O(N) model with hierarchical mass terms without a Skyrme term, which leads a matryoshka structure of Skyrmions.

14 pages, 3+1 figures, v2: references added, published version

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Cited by in corpus (50)

• Vortices and Other Topological Solitons in Dense Quark Matter
• Scattering of the ${\phi }^8$ kinks with power-law asymptotics
• Scattering of kinks of the sinh-deformed ${\phi }^4$ model
• Scattering of the double sine-Gordon kinks
• Multi-kink collisions in the ${\varphi }^6$ model
• Domain wall Skyrmions
• Jewels on a wall ring
• Incarnations of Skyrmions
• Torus knots as Hopfions
• BPS States in Supersymmetric Chiral Models with Higher Derivative Terms
• The dynamics of domain wall Skyrmions
• 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
• Domain Wall Skyrmions in Chiral Magnets
• Fractional Skyrmions and their molecules
• Fractional vortex molecules and vortex polygons in a baby Skyrme model
• Phase diagram of QCD matter with magnetic field: domain-wall Skyrmion chain in chiral soliton lattice
• Baryonic sphere: a spherical domain wall carrying baryon number
• Wigner solids of domain wall skyrmions
• Black hole Skyrmion in a generalized Skyrme model
• Scalar triplet on a domain wall: an exact solution
• Baryonic torii: Toroidal baryons in a generalized 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
• Chiral Magnets from String Theory
• Skyrmions confined as beads on a vortex ring
• Effective field theories on solitons of generic shapes
• Magnon dynamics in a Skyrmion-textured domain wall of antiferromagnets
• Topological Defects in the Georgi-Machacek Model
• D-brane solitons in various dimensions
• Incarnations of Instantons
• Spin Statistics and Surgeries of Topological Solitons in QCD Matter in Magnetic Field
• Strings and skyrmions on domain walls
• Baryonic handles: Skyrmions as open vortex strings on a domain wall
• Q-lumps on a Domain Wall with a Spin-Orbit Interaction
• Gravitating BPS Skyrmions
• Skyrmion crystal phase on a magnetic domain wall in chiral magnets
• Atiyah-Manton Construction of Skyrmions in Eight Dimensions
• Domain walls in a non-linear ${\mathbb{S}}^2$-sigma model with homogeneous quartic polynomial potential
• Solitonic ground state in supersymmetric theory in background
• Creation of domain-wall Skyrmions in chiral magnets
• BPS pion domain walls in the supersymmetric chiral Lagrangian
• Domain Wall Networks as Skyrmion Crystals in Chiral Magnets
• A Unified Construction of Skyrme-type Non-linear sigma Models via The Higher Dimensional Landau Models
• Holographic QCD Matter: Chiral Soliton Lattices in Strong Magnetic Field
• Fermionic domain-wall Skyrmions of QCD in a magnetic field
• Creation of domain-wall skyrmions in chiral magnets with Landau-Lifshitz-Gilbert dynamics and demagnetization