Relations among topological solitons

Abstract

We clarify relations among topological solitons in various dimensions: a domain wall, non-Abelian vortex, magnetic monopole and Yang-Mills instanton, together with a (non-Abelian) sine-Gordon soliton, baby Skyrmion (lump) and Skyrmion. We construct a composite configuration consisting of a domain wall, vortex, magnetic monopole and Yang-Mills instanton (wall-vortex-monopole-instanton) using the effective theory technique or moduli approximation. Removing some solitons from such a composite, we obtain all possible composite solitons in the form of solitons within a soliton, including all the previously known configurations, yielding relations among topological solitons.

arXiv comment42 pages, 4 figures, published version

References in corpus (213)

• Skyrmion Lattice in a Chiral Magnet
• Monopole Condensation, And Confinement In N=2 Supersymmetric Yang-Mills Theory
• Monopoles, Duality and Chiral Symmetry Breaking in N=2 Supersymmetric QCD
• Generalized Global Symmetries
• Cosmic strings
• Spinor Bose-Einstein condensates
• Cosmological Experiments in Condensed Matter Systems
• Knots and Particles
• Vortices, Instantons and Branes
• Semilocal and Electroweak Strings
• Nonabelian Superconductors: Vortices and Confinement in $\mathcal{N}=2$ SQCD
• Solitons in the Higgs phase -- the moduli matrix approach --
• Periodic Instantons with non-trivial Holonomy
• Rational Maps, Monopoles and Skyrmions
• SU(2) Calorons and Magnetic Monopoles
• Vortex Strings and Four-Dimensional Gauge Dynamics
• Axions : Theory and Cosmological Role
• Non-Abelian String Junctions as Confined Monopoles
• To be or knot to be?
• Hidden symmetry and knot solitons in a charged two-condensate Bose system
• The Calculus of Many Instantons
• Skyrmion fractionalization and merons in chiral magnets with easy-plane anisotropy
• Resurgence and Trans-series in Quantum Field Theory: The CP(N-1) Model
• Monopole Constituents inside SU(n) Calorons
• Magnetic bion condensation: A new mechanism of confinement and mass gap in four dimensions
• Baryons from instantons in holographic QCD
• Moduli Space of Non-Abelian Vortices
• Stationary ring solitons in field theory - knots and vortons
• Creation and confirmation of Hopfions in magnetic multilayer systems
• Multisolitons in a Two-dimensional Skyrme Model
• Dynamics of Baby Skyrmions
• Skyrmion Lattice in Two-Dimensional Chiral Magnet
• The semi-classical expansion and resurgence in gauge theories: new perturbative, instanton, bion, and renormalon effects
• All Exact Solutions of a 1/4 Bogomol'nyi-Prasad-Sommerfield Equation
• Bogomol'nyi solitons in a gauged $O(3)$ sigma model
• Monopoles in the Higgs Phase
• Solitons, Links and Knots
• Instantons in the Higgs Phase
• Knots in a Spinor Bose-Einstein Condensate
• Quantum Vortex Strings: A Review
• Magnetic Monopole Dynamics, Supersymmetry, and Duality
• Decay of Metastable Topological Defects
• Construction of Non-Abelian Walls and Their Complete Moduli Space
• The Moduli Space Metric for Well Separated BPS Monoples
• Continuity and Resurgence: towards a continuum definition of the CP(N-1) model
• Non-Abelian Vortices of Higher Winding Numbers
• Semi-superfluid strings in High Density QCD
• Diversity of knot solitons in liquid crystals manifested by linking of preimages in torons and hopfions
• Non-Abelian Walls in Supersymmetric Gauge Theories
• Vortices and Other Topological Solitons in Dense Quark Matter
• Nonabelian Monopoles and the Vortices that Confine Them
• The Moduli Space of BPS Domain Walls
• D-brane Solitons in Supersymmetric Sigma-Models
• Non-Abelian Semilocal Strings in N=2 Supersymmetric QCD
• Localization of Non-Abelian Gauge Fields on Domain Walls at Weak Coupling (D-brane Prototypes)
• Universal Reconnection of Non-Abelian Cosmic Strings
• On the moduli space of semilocal strings and lumps
• Non-Abelian Strings in High Density QCD: Zero Modes and Interactions
• Manifest Supersymmetry for BPS Walls in N=2 Nonlinear Sigma Models
• Multi-Domain Walls in Massive Supersymmetric Sigma-Models
• Non-Abelian Vortices on Cylinder -- Duality between vortices and walls
• Domain Walls and Flux Tubes in N=2 SQCD: D-Brane Prototypes
• Dyonic Instantons in Five Dimensional Gauge Theories
• Instantons and Magnetic Monopoles on $R^3\times S^1$ with Arbitrary Simple Gauge Groups
• Manifestly Supersymmetric Effective Lagrangians on BPS Solitons
• Instabilities of Non-Abelian Vortices in Dense QCD
• Magnetic domain wall Skyrmions
• Color Magnetic Flux Tubes in Dense QCD
• Higher-form symmetries and 3-group in axion electrodynamics
• Chiral Soliton Lattice and Charged Pion Condensation in Strong Magnetic Fields
• 1/2, 1/4 and 1/8 BPS Equations in SUSY Yang-Mills-Higgs Systems -- Field Theoretical Brane Configurations --
• Non-Abelian duality from vortex moduli: a dual model of color-confinement
• Global 3-group symmetry and 't Hooft anomalies in axion electrodynamics
• Scattering of the double sine-Gordon kinks
• Neutral bions in the $\mathbb{C}{P}^{N-1}$ model
• Color Magnetic Flux Tubes in Dense QCD. II: Effective World-Sheet Theory
• Observation of domain wall bimerons in chiral magnets
• D-brane Construction for Non-Abelian Walls
• Supersymmetric Nonlinear Sigma Models as Gauge Theories
• Skyrmions from Instantons inside Domain Walls
• Anomalous effects of dense matter under rotation
• Josephson vortices and the Atiyah-Manton construction
• Constructing Non-Abelian Vortices with Arbitrary Gauge Groups
• Skyrmions and domain walls in (2+1) dimensions
• Correspondence between Skyrmions in 2+1 and 3+1 Dimensions
• Instanton constituents in the O(3) model at finite temperature
• Monopole--Antimonopole Chains
• Cosmic Strings
• Matryoshka Skyrmions
• Domain wall Skyrmions
• Monopoles, Antimonopoles and Vortex Rings
• Jewels on a wall ring
• Microscopic Structure of Magnetic Bions
• The Spectrum of Bogomol'nyi Solitons in Gauged Linear Sigma Models
• Instanton constituents and fermionic zero modes in twisted CP(n) models
• Classifying bions in Grassmann sigma models and non-Abelian gauge theories by D-branes
• Global Structure of Moduli Space for BPS Walls
• Incarnations of Skyrmions
• Magnetic Skyrmions at Critical Coupling
• Topological String Defect Formation During the Chiral Phase Transition
• Bion non-perturbative contributions versus infrared renormalons in two-dimensional $\mathbb{C}{P}^{N-1}$ models
• Torus knots as Hopfions
• Domain Walls with Non-Abelian Clouds
• Non-Abelian Strings in Hot or Dense QCD
• Enhanced Worldvolume Supersymmetry and Intersecting Domain Walls in N=1 SQCD
• Global 4-group symmetry and 't Hooft anomalies in topological axion electrodynamics
• Statistical Mechanics of Vortices from D-branes and T-duality
• Topologically Stable Electroweak Flux Tube
• The dynamics of domain wall Skyrmions
• Continuity of vortices from the hadronic to the color-flavor locked phase in dense matter
• Intersecting Solitons, Amoeba and Tropical Geometry
• BPS Wall in N=2 SUSY Nonlinear Sigma Model with Eguchi-Hanson Manifold
• Constraints on two Higgs doublet models from domain walls
• Vacua of Massive Hyper-Kahler Sigma Models with Non-Abelian Quotient
• Easy plane baby skyrmions
• Non-Abelian Vortices in SO(N) and USp(N) Gauge Theories
• Non-Abelian strings and domain walls in two Higgs doublet models
• Non-Abelian Sine-Gordon Solitons
• Fermion structure of non-Abelian vortices in high density QCD
• Dynamics of Domain Wall Networks
• Confined Monopoles Induced by Quantum Effects in Dense QCD
• Vortex equations in abelian gauged sigma-models
• Monopoles on strings
• Interactions of Non-Abelian Global Strings
• Non-Abelian Sine-Gordon Solitons: Correspondence between $SU(N)$ Skyrmions and $\mathbb{C}{P}^{N-1}$ Lumps
• SO(3) Gauged Soliton of an O(4) Sigma Model on $R_3$
• Monopoles Can be Confined by 0, 1 or 2 Vortices
• Quark-hadron continuity under rotation: Vortex continuity or boojum?
• Vortices and Monopoles in Mass-deformed SO and USp Gauge Theories
• Topological order in a color-flavor locked phase of $(3+1)$-dimensional $U(N)$ gauge-Higgs system
• Topological term, QCD anomaly, and the eta' chiral soliton lattice in rotating baryonic matter
• Studying Boojums in N=2 Theory with Walls and Vortices
• Magnetic Domain Walls as Hosts of Spin Superfluids and Generators of Skyrmions
• Emergence of Transient Domain Wall Skyrmions after Ultrafast Demagnetisation
• Confined Magnetic Monopoles in Dense QCD
• Non-Abelian Monopoles in the Higgs Phase
• Intermediate phase in the spiral antiferromagnet Ba_2CuGe_2O_7
• String monopoles, string walls, vortex-skyrmions and nexus objects in polar distorted B-phase of ${}^3$He
• Stability of superfluid vortices in dense quark matter
• Fractional instantons and bions in the principal chiral model on ${\mathbb{R}}^2\times S^1$ with twisted boundary conditions
• Index theorem and Majorana zero modes along a non-Abelian vortex in a color superconductor
• Nonabelian Monopoles
• Higher Derivative Corrections to Non-Abelian Vortex Effective Theory
• Fractional Skyrmions and their molecules
• Decomposing Instantons in Two Dimensions
• Decay of a Quantum Knot
• Topological Excitations in Spinor Bose-Einstein Condensates
• Dynamics of Strings between Walls
• Fractional vortex molecules and vortex polygons in a baby Skyrme model
• Non-Abelian Global Vortices
• Chains of Skyrmions
• Non-Abelian Global Strings at Chiral Phase Transition
• Baryonic sphere: a spherical domain wall carrying baryon number
• Skyrmion interactions and lattices in chiral magnets: analytical results
• Dynamics of Nambu monopole in two Higgs doublet models -- Cosmological Monopole Collider --
• Non-abelian Topological Strings and Metastable States in Linear Sigma Model
• Wigner solids of domain wall skyrmions
• Emergent discrete 3-form symmetry and domain walls
• Kinks, chains, and loop groups in the CP^n sigma models
• Instantons in Chiral Magnets
• The Moduli Space Metric for Well-Separated Non-Abelian Vortices
• Theory of magnetoelastic resonance in a mono-axial chiral helimagnet
• On Monopoles and Domain Walls
• Group Theory of Non-Abelian Vortices
• Domain Walls and Vortices in Chiral Symmetry Breaking
• Josephson junction of non-Abelian superconductors and non-Abelian Josephson vortices
• Neutral bions in the CP^{N-1} model for resurgence
• Domain Lines as Fractional Strings
• On the interactions of Skyrmions with domain walls
• Winding Hopfions on R^2 x S^1
• Skyrmed Monopoles
• Josephson instantons and Josephson monopoles in a non-Abelian Josephson junction
• Skyrmions confined as beads on a vortex ring
• Dynamics of Non-Abelian Vortices
• Topological Nambu monopole in two Higgs doublet models
• Nonlinear sigma models at nonzero chemical potential: breaking up instantons and the phase diagram
• Walls and chains of planar skyrmions
• Kelvin knots in superconducting state
• Effective field theories on solitons of generic shapes
• Vortex polygons and their stabilities in Bose-Einstein condensates and field theory
• Vortex counting from field theory
• Instantons confined by monopole strings
• Exact Ground States and Domain Walls in One Dimensional Chiral Magnets
• Non-Abelian monopole-vortex complex
• 2d Partition Function in Omega-background and Vortex/Instanton Correspondence
• Fractional Skyrmion molecules in a $\mathbb{C}{P}^{N-1}$ model
• Topological Defects in the Georgi-Machacek Model
• Topological structure of Nambu monopole in Two Higgs doublet models -- Fiber bundle, Dirac's quantization and dyon --
• Monopole-vortex complex at large distances and nonAbelian duality
• Lattice $\mathbb{C}{P}^{N-1}$ model with ${\mathbb{Z}}_N$ twisted boundary condition: bions, adiabatic continuity and pseudo-entropy
• D-brane solitons in various dimensions
• Incarnations of Instantons
• Chiral non-Abelian vortices and their confinement in three flavor dense QCD
• Formation of Non-Abelian Monopoles Connected by Strings
• Walls of massive Kähler sigma models on SO(2N)/U(N) and Sp(N)/U(N)
• Monopole-Skyrmions
• Baby Skyrmion crystals
• Field theoretical model of multi-layered Josephson junction and dynamics of Josephson vortices
• Dyonic Non-Abelian Vortices
• Strings and skyrmions on domain walls
• Vacua and walls of mass-deformed Kähler nonlinear sigma models on $Sp(N)/U(N)$
• Vacua and walls of mass-deformed Kähler nonlinear sigma models on $SO(2N)/U(N)$
• Baryonic handles: Skyrmions as open vortex strings on a domain wall
• Lattice study on the twisted $\mathbb{C}{P}^{N-1}$ models on $\mathbb{R}\times S^1$
• Gauged merons
• Strings Inside Walls in N=1 Super Yang-Mills
• The Shapes of Dirichlet Defects
• Brane Realization of Nambu Monopoles and Electroweak Strings
• Knotted instantons from annihilations of monopole-instanton complex
• Stabilizing semilocal strings by polarization
• Solvable Models of Magnetic Skyrmions
• Walls in supersymmetric massive nonlinear sigma model on complex quadric surface
• Dyonic non-Abelian vortex strings in supersymmetric and non-supersymmetric theories: tensions and higher derivative corrections

Cited by in corpus (16)

• Cosmic strings from pure Yang-Mills theory
• Domain Wall Skyrmions in Chiral Magnets
• Phase diagram of QCD matter with magnetic field: domain-wall Skyrmion chain in chiral soliton lattice
• Chiral Magnets from String Theory
• Magnon dynamics in a Skyrmion-textured domain wall of antiferromagnets
• Quasicrystals in QCD
• Spin Statistics and Surgeries of Topological Solitons in QCD Matter in Magnetic Field
• Vortex-bound solitons in topological superfluid ${}^3$He
• Skyrmion crystal phase on a magnetic domain wall in chiral magnets
• Solitonic ground state in supersymmetric theory in background
• Creation of domain-wall Skyrmions in chiral magnets
• Chiral non-Abelian vortex molecules in dense QCD
• Holographic QCD Matter: Chiral Soliton Lattices in Strong Magnetic Field
• Dynamics of Quantum Chiral Solitons
• Chiral non-Abelian domain walls in the Ginzburg-Landau theory
• Creation of domain-wall skyrmions in chiral magnets with Landau-Lifshitz-Gilbert dynamics and demagnetization