Webs of Walls

Abstract

Webs of domain walls are constructed as 1/4 BPS states in d=4, N=2 supersymmetric U(Nc) gauge theories with Nf hypermultiplets in the fundamental representation. Web of walls can contain any numbers of external legs and loops like (p,q) string/5-brane webs. We find the moduli space M of a 1/4 BPS equation for wall webs to be the complex Grassmann manifold. When moduli spaces of 1/2 BPS states (parallel walls) and the vacua are removed from M, the non-compact moduli space of genuine 1/4 BPS wall webs is obtained. All the solutions are obtained explicitly and exactly in the strong gauge coupling limit. In the case of Abelian gauge theory, we work out the correspondence between configurations of wall web and the moduli space CP^{Nf-1}.

39 pages, 19 figures, a minor change, a reference added

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• On Monopoles and Domain Walls
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• Fermion states on domain wall junctions and the flavor number
• Chiral Magnets from String Theory
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• D-Branes in Field Theory
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• Solitons in Supersymmetric Gauge Theories: Moduli Matrix Approach
• Exhausting all exact solutions of BPS domain wall networks in arbitrary dimensions
• Non-integrability of Self-dual Yang-Mills-Higgs System
• Vacua and walls of mass-deformed Kähler nonlinear sigma models on $SO(2N)/U(N)$
• Exact solutions of domain wall junctions in arbitrary dimensions
• Junctions of mass-deformed nonlinear sigma models on the Grassmann manifold
• Vacua, walls and junctions in $G_{N_F,N_C}$
• Zero-modes of Non-Abelian Solitons in Three Dimensional Gauge Theories
• Domain Wall Networks as Skyrmion Crystals in Chiral Magnets
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• BPS pion domain walls in the supersymmetric chiral Lagrangian
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• Domain Wall and Three Dimensional Duality
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• Trions in 1+1 dimensions
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• BPS Boojums in N=2 supersymmetric gauge theories II
• Domain Walls on Singularities