Non-Abelian Vortices on Cylinder -- Duality between vortices and walls

Abstract

We investigate vortices on a cylinder in supersymmetric non-Abelian gauge theory with hypermultiplets in the fundamental representation. We identify moduli space of periodic vortices and find that a pair of wall-like objects appears as the vortex moduli is varied. Usual domain walls also can be obtained from the single vortex on the cylinder by introducing a twisted boundary condition. We can understand these phenomena as a T-duality among D-brane configurations in type II superstring theories. Using this T-duality picture, we find a one-to-one correspondence between the moduli space of non-Abelian vortices and that of kinky D-brane configurations for domain walls.

33 pages, 17 figures, v2: references added, typos corrected, the final version published in PRD

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• D-branes, Monopoles and Nahm Equations
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• Localization of Non-Abelian Gauge Fields on Domain Walls at Weak Coupling (D-brane Prototypes)
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• Manifest Supersymmetry for BPS Walls in N=2 Nonlinear Sigma Models
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• Massive Nonlinear Sigma Models and BPS Domain Walls in Harmonic Superspace
• Kinky D-Strings
• An Index Theorem for Domain Walls in Supersymmetric Gauge Theories
• ADHM is Tachyon Condensation
• Domain Walls and Flux Tubes
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• The Partonic Nature of Instantons
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• Effective Action of Domain Wall Networks
• Resurgence Structure to All Orders of Multi-bions in Deformed SUSY Quantum Mechanics
• Non-BPS exact solutions and their relation to bions in $\mathbb{C}{P}^{N-1}$ models
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• Phase diagram of QCD matter with magnetic field: domain-wall Skyrmion chain in chiral soliton lattice
• Non-Abelian Global Vortices
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• Instantons in Chiral Magnets
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• The Moduli Space Metric for Well-Separated Non-Abelian Vortices
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• A low-dimensional analogue of holographic baryons
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• Fractional topological charge in $SU(N)$ gauge theories without dynamical quarks
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• Vacua and walls of mass-deformed Kähler nonlinear sigma models on $SO(2N)/U(N)$
• Strongly coupled QFT dynamics via TQFT coupling
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• Knotted instantons from annihilations of monopole-instanton complex
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• Winding theta and destructive interference of instantons
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