Skyrmions from Instantons inside Domain Walls

Abstract

Some years ago, Atiyah and Manton described a method to construct approximate Skyrmion solutions from Yang-Mills instantons. Here we present a dynamical realization of this construction using domain walls in a five-dimensional gauge theory. The non-abelian gauge symmetry is broken in each vacuum but restored in the core of the domain wall, allowing instantons to nestle inside the wall. We show that the worldvolume dynamics of the wall is given by the Skyrme model, including the four-derivative term, and the instantons appear as Skyrmions.

11 pages, 1 figure. v1: References added. v2: typos corrected

References in corpus (16)

• Low energy hadron physics in holographic QCD
• QCD and dimensional deconstruction
• All Exact Solutions of a 1/4 Bogomol'nyi-Prasad-Sommerfield Equation
• Construction of Non-Abelian Walls and Their Complete Moduli Space
• The Moduli Space of BPS Domain Walls
• Localization of Non-Abelian Gauge Fields on Domain Walls at Weak Coupling (D-brane Prototypes)
• Domain Walls and Flux Tubes in N=2 SQCD: D-Brane Prototypes
• 1/2, 1/4 and 1/8 BPS Equations in SUSY Yang-Mills-Higgs Systems -- Field Theoretical Brane Configurations --
• Exact Wall Solutions in 5-Dimensional SUSY QED at Finite Coupling
• Skyrmions, instantons, mass and curvature
• Moduli Space of BPS Walls in Supersymmetric Gauge Theories
• Dimensional Deconstruction and Wess-Zumino-Witten Terms
• Symmetric Instantons and Skyrme Fields
• Topological Solitons from DeConstructed Extra Dimensions
• Instantons and the Buckyball
• SU(N) Skyrmions from Instantons

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• Observation of domain wall bimerons in chiral magnets
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• Incarnations of Skyrmions
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• Dynamics of Domain Wall Networks
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• Dynamics of Strings between Walls
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• A higher-order Skyrme model
• Domain Lines as Fractional Strings
• Josephson instantons and Josephson monopoles in a non-Abelian Josephson junction
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• Dynamics of Non-Abelian Vortices
• Instantons confined by monopole strings
• Incarnations of Instantons
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• Spin Statistics and Surgeries of Topological Solitons in QCD Matter in Magnetic Field
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• Exhausting all exact solutions of BPS domain wall networks in arbitrary dimensions
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• Atiyah-Manton Construction of Skyrmions in Eight Dimensions
• Exact solutions of domain wall junctions in arbitrary dimensions
• The Condensate from Torus Knots
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• Non-Abelian Vortex-String Dynamics from Nonlinear Realization
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• Gravitating Meron-like topological solitons in massive Yang-Mills theory and the Einstein-Skyrme model
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• BPS pion domain walls in the supersymmetric chiral Lagrangian
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• Flavored extended instanton in QCD
• Chemical potential as a source of stability for gravitating Skyrmions
• Domain walls with non-Abelian orientational moduli
• Holographic QCD Matter: Chiral Soliton Lattices in Strong Magnetic Field
• Chiral non-Abelian domain walls in the Ginzburg-Landau theory