Non-Abelian Webs of Walls

Abstract

Domain wall junctions are studied in N=2 supersymmetric U(Nc) gauge theory with Nf(>Nc) flavors. We find that all three possibilities are realized for positive, negative and zero junction charges. The positive junction charge is found to be carried by a topological charge in the Hitchin system of an SU(2) gauge subgroup. We establish rules of the construction of the webs of walls. Webs can be understood qualitatively by grid diagram and quantitatively by associating moduli parameters to web configurations.

arXiv comment15 pages, 8 figures, references added

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• TASI Lectures on Solitons
• Non-Abelian Vortices on Cylinder -- Duality between vortices and walls
• 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 --
• Josephson vortices and the Atiyah-Manton construction
• Webs of Walls
• Classifying bions in Grassmann sigma models and non-Abelian gauge theories by D-branes
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• BPS States in Supersymmetric Chiral Models with Higher Derivative Terms
• Intersecting Solitons, Amoeba and Tropical Geometry
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• Classifying BPS States in Supersymmetric Gauge Theories Coupled to Higher Derivative Chiral Models
• Non-Abelian Monopoles in the Higgs Phase
• Domain Wall Skyrmions in Chiral Magnets
• Effective Action of Domain Wall Networks
• Fractional vortex molecules and vortex polygons in a baby Skyrme model
• Dynamics of Strings between Walls
• Non-Abelian Global Vortices
• Josephson junction of non-Abelian superconductors and non-Abelian Josephson vortices
• Domain Lines as Fractional Strings
• Dynamics of Non-Abelian Vortices
• Chiral Magnets from String Theory
• D-Branes in Field Theory
• Walls of massive Kähler sigma models on SO(2N)/U(N) and Sp(N)/U(N)
• Solitons in Supersymmetric Gauge Theories: Moduli Matrix Approach
• Field theoretical model of multi-layered Josephson junction and dynamics of Josephson vortices
• Non-integrability of Self-dual Yang-Mills-Higgs System
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• Toroidal domain walls as Hopfions
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• Domain Wall Networks as Skyrmion Crystals in Chiral Magnets
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• Domain walls with non-Abelian orientational moduli
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• Domain Wall and Three Dimensional Duality
• Trions in 1+1 dimensions
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