D-brane Configurations for Domain Walls and Their Webs

Abstract

Supersymmetric U(Nc) gauge theory with Nf massive hypermultiplets in the fundamental representation admits various BPS solitons like domain walls and their webs. In the first part we show as a review of the previous paper hep-th/0412024 that domain walls are realized as kinky fractional D3-branes interpolating between separated D7-branes. In the second part we discuss brane configurations for domain wall webs. This is a contribution to the conference based on the talk given by MN.

arXiv comment4 pages, 9 figures. Talks given by MN at PASCOS 2005, May 30-June 4, 2005, Gyeongju, Korea, and at SUSY 2005, July 18-23, 2005, IPPP Durham. To appear in the proceedings of PASCOS 2005

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• Interface Yang-Mills, Supersymmetry, and Janus
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• 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 --
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• Classifying bions in Grassmann sigma models and non-Abelian gauge theories by D-branes
• Domain Walls with Non-Abelian Clouds
• Intersecting Solitons, Amoeba and Tropical Geometry
• Hyper-Kahler Sigma Models on (Co)tangent Bundles with SO(n) isometry
• Dynamics of Domain Wall Networks
• 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
• Dynamics of Non-Abelian Vortices
• Chiral Magnets from String Theory
• Non-integrability of Self-dual Yang-Mills-Higgs System
• Exhausting all exact solutions of BPS domain wall networks in arbitrary dimensions
• Vacua and walls of mass-deformed Kähler nonlinear sigma models on $SO(2N)/U(N)$
• Exact solutions of domain wall junctions in arbitrary dimensions
• BPS pion domain walls in the supersymmetric chiral Lagrangian
• Effective Lagrangian of Domain Wall Networks