Josephson vortices and the Atiyah-Manton construction

Abstract

We show that sine-Gordon solitons appear in the low-energy effective theory of a domain wall in a U(1) gauge theory with two charged complex scalar fields with masses, if we introduce the Josephson interaction term between the scalar fields. We identify these sine-Gordon solitons as vortices or CP(1) sigma model instantons in the bulk, which are absorbed into the domain wall world-volume. These vortices can be called as Josephson vortices since they appear in Josephson junctions of two superconductors. This set up gives a physical realization of a lower dimensional analogue of Atiyah-Manton construction of Skyrmions from instanton holonomy.

15 pages, 1 figure, v2: published version

References in corpus (37)

• Low energy hadron physics in holographic QCD
• More on a holographic dual of QCD
• Solitons in the Higgs phase -- the moduli matrix approach --
• Rational Maps, Monopoles and Skyrmions
• Baryons from instantons in holographic QCD
• All Exact Solutions of a 1/4 Bogomol'nyi-Prasad-Sommerfield Equation
• Instantons in the Higgs Phase
• Construction of Non-Abelian Walls and Their Complete Moduli Space
• Non-Abelian Walls in Supersymmetric Gauge Theories
• The Moduli Space of BPS Domain Walls
• Non-Abelian Semilocal Strings in N=2 Supersymmetric QCD
• Localization of Non-Abelian Gauge Fields on Domain Walls at Weak Coupling (D-brane Prototypes)
• On the moduli space of semilocal strings and lumps
• Multi-Domain Walls in Massive Supersymmetric Sigma-Models
• Manifest Supersymmetry for BPS Walls in N=2 Nonlinear Sigma Models
• Manifestly Supersymmetric Effective Lagrangians on BPS Solitons
• 1/2, 1/4 and 1/8 BPS Equations in SUSY Yang-Mills-Higgs Systems -- Field Theoretical Brane Configurations --
• D-brane Construction for Non-Abelian Walls
• Skyrmions from Instantons inside Domain Walls
• Webs of Walls
• Instanton constituents in the O(3) model at finite temperature
• Non-Abelian Webs of Walls
• Instanton constituents and fermionic zero modes in twisted CP(n) models
• Domain Walls with Non-Abelian Clouds
• Atomic Josephson vortex
• Enhanced Worldvolume Supersymmetry and Intersecting Domain Walls in N=1 SQCD
• Vortex trimer in three-component Bose-Einstein condensates
• Intersecting Solitons, Amoeba and Tropical Geometry
• Vacua of Massive Hyper-Kahler Sigma Models with Non-Abelian Quotient
• Dynamics of Domain Wall Networks
• Baryonic Bound State of Vortices in Multicomponent Superconductors
• Effective Action of Domain Wall Networks
• D-brane Configurations for Domain Walls and Their Webs
• Dynamics of Strings between Walls
• Domain Lines as Fractional Strings
• Strings Inside Walls in N=1 Super Yang-Mills
• Sigma Model BPS Lumps on Torus

Cited by in corpus (57)

• Scattering of the ${\phi }^8$ kinks with power-law asymptotics
• Scattering of the double sine-Gordon kinks
• Neutral bions in the $\mathbb{C}{P}^{N-1}$ model
• Correspondence between Skyrmions in 2+1 and 3+1 Dimensions
• Domain wall Skyrmions
• Matryoshka Skyrmions
• Jewels on a wall ring
• Resurgence in sine-Gordon quantum mechanics: Exact agreement between multi-instantons and uniform WKB
• Classifying bions in Grassmann sigma models and non-Abelian gauge theories by D-branes
• Incarnations of Skyrmions
• Torus knots as Hopfions
• BPS States in Supersymmetric Chiral Models with Higher Derivative Terms
• The dynamics of domain wall Skyrmions
• Non-relativistic Nambu-Goldstone modes associated with spontaneously broken space-time and internal symmetries
• 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
• Phase diagram of QCD matter with magnetic field: domain-wall Skyrmion chain in chiral soliton lattice
• Fractional vortex molecules and vortex polygons in a baby Skyrme model
• Baryonic sphere: a spherical domain wall carrying baryon number
• Emergent discrete 3-form symmetry and domain walls
• Baryonic torii: Toroidal baryons in a generalized Skyrme model
• Scalar triplet on a domain wall: an exact solution
• Instantons in Chiral Magnets
• Josephson junction of non-Abelian superconductors and non-Abelian Josephson vortices
• Winding Hopfions on R^2 x S^1
• Non-relativistic Nambu-Goldstone modes propagating along a skyrmion line
• Chiral Magnets from String Theory
• Josephson instantons and Josephson monopoles in a non-Abelian Josephson junction
• Skyrmions confined as beads on a vortex ring
• Effective field theories on solitons of generic shapes
• Fractional Skyrmion molecules in a $\mathbb{C}{P}^{N-1}$ model
• Instantons confined by monopole strings
• D-brane solitons in various dimensions
• Incarnations of Instantons
• Potentials and the vortex solutions in the $C{P}^N$ Skyrme-Faddeev model
• Spin Statistics and Surgeries of Topological Solitons in QCD Matter in Magnetic Field
• Field theoretical model of multi-layered Josephson junction and dynamics of Josephson vortices
• Strings and skyrmions on domain walls
• Chemical bonds of two vortex species with a generalized Josephson term and arbitrary charges
• Exhausting all exact solutions of BPS domain wall networks in arbitrary dimensions
• An Investigation of the Casimir Energy for a Fermion Coupled to the Sine-Gordon Soliton with Parity Decomposition
• Exact solutions of domain wall junctions in arbitrary dimensions
• Skyrmion crystal phase on a magnetic domain wall in chiral magnets
• Solitonic ground state in supersymmetric theory in background
• Constrained instantons and kink-antikink collisions
• Creation of domain-wall Skyrmions in chiral magnets
• Domain Wall Networks as Skyrmion Crystals in Chiral Magnets
• BPS pion domain walls in the supersymmetric chiral Lagrangian
• A Unified Construction of Skyrme-type Non-linear sigma Models via The Higher Dimensional Landau Models
• Confinement and moduli locking of Alice strings and monopoles
• Holographic QCD Matter: Chiral Soliton Lattices in Strong Magnetic Field
• Creation of domain-wall skyrmions in chiral magnets with Landau-Lifshitz-Gilbert dynamics and demagnetization
• Fermionic domain-wall Skyrmions of QCD in a magnetic field