BPS Domain Walls in Large N Supersymmetric QCD

Abstract

We explicitly construct BPS domain walls interpolating between neighboring chirally asymmetric vacua in a model for large N pure supersymmetric QCD. The BPS equations for the corresponding ${\mathbf{Z}}_N$ symmetric order parameter effective Lagrangian reduce to those in the $A_N$ Landau-Ginsburg model assuming that the higher derivative terms in the K{ä}hler potential are suppressed in the large N limit. These BPS domain walls, which have vanishing width in the large N limit, can be viewed as supermembranes embedded in a (3+1)-dimensional supersymmetric QCD background. The supermembrane couples to a three-form supermultiplet whose components we identify with the composite fields of supersymmetric QCD. We also discuss certain aspects of chromoelectric flux tubes (open strings) ending on these walls which appear to support their interpretation as D-branes.

24 REVTEX pages. Journal version. Comments added, typos corrected

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• Webs of Walls
• Global Structure of Moduli Space for BPS Walls
• QCD Vacuum and Axions: What's Happening?
• Enhanced Worldvolume Supersymmetry and Intersecting Domain Walls in N=1 SQCD
• D-Walls and Junctions in Supersymmetric Gluodynamics in the Large N Limit Suggest the Existence of Heavy Hadrons
• Exact Wall Solutions in 5-Dimensional SUSY QED at Finite Coupling
• On k-String Tensions and Domain Walls in N=1 Gluodynamics
• Topological Model for Domain Walls in (Super-)Yang-Mills Theories
• Counting Domain Walls in N=1 Super Yang-Mills Theory
• Field theory models for variable cosmological constant
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• Massive Nonlinear Sigma Models and BPS Domain Walls in Harmonic Superspace
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• Domain Walls and Flux Tubes
• Scanning of the Supersymmetry Breaking Scale and the Gravitino Mass in Supergravity
• Living on the walls of super-QCD
• Moduli Space of BPS Walls in Supersymmetric Gauge Theories
• Vacuum Structure and the Axion Walls in Gluodynamics and QCD with Light Quarks
• Emergent discrete 3-form symmetry and domain walls
• Monodromy Inflation in SUSY QCD
• Localization of Gauge Fields and Monopole Tunnelling
• The Cosmological Constant and Domain Walls in Orientifold Field Theories and N=1 Gluodynamics
• Large N, Z_N Strings and Bag Models
• Sitting on the Domain Walls of N=1 Super Yang-Mills
• Kink scattering in a generalized Wess-Zumino model
• Domain Wall Equations, Hessian of Superpotential, and Bogomol'nyi Bounds
• Topological couplings in higher derivative extensions of supersymmetric three-form gauge theories
• A Note on Domain Walls and the Parameter Space of N=1 Gauge Theories
• Exhausting all exact solutions of BPS domain wall networks in arbitrary dimensions
• Exact solutions of domain wall junctions in arbitrary dimensions
• Our World as an Intersection of Walls and a String
• Domain Walls in Supersymmetric QCD
• The Shapes of Dirichlet Defects
• Strings Inside Walls in N=1 Super Yang-Mills
• Intersecting domain walls in MQCD
• Confining potential in a color dielectric medium with parallel domain walls
• N=1 Super Yang-Mills Domain Walls via The Extended Veneziano Yankielowicz Theory
• Localization of gauge fields and Maxwell-Chern-Simons theory
• Hidden Modulus in the Extended Veneziano-Yankielowicz Theory
• Domain walls and gauge field localization in strongly-coupled pure Yang-Mills theories
• Mildly Flavoring Domain Walls in Sp(N) SQCD
• BPS and semi-BPS kink families in two-component scalar field theories with fourth-degree polynomial potentials