Construction of Non-Abelian Walls and Their Complete Moduli Space

Abstract

We present a systematic method to construct exactly all Bogomol'nyi-Prasad-Sommerfield (BPS) multi-wall solutions in supersymmetric (SUSY) U(N_C) gauge theories in five dimensions with N_F hypermultiplets in the fundamental representation for infinite gauge coupling. The moduli space of these non-Abelian walls is found to be the complex Grassmann manifold SU(N_F)/(SU(N_C)xSU(N_F-N_C)xU(1)) endowed with a deformed metric.

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References in corpus (18)

• A Large Mass Hierarchy from a Small Extra Dimension
• An Alternative to Compactification
• The Hierarchy Problem and New Dimensions at a Millimeter
• New Dimensions at a Millimeter to a Fermi and Superstrings at a TeV
• Heterotic and Type I String Dynamics from Eleven Dimensions
• Vortices, Instantons and Branes
• The Moduli Space of BPS Domain Walls
• D-brane Solitons in Supersymmetric Sigma-Models
• Multi-Domain Walls in Massive Supersymmetric Sigma-Models
• Manifest Supersymmetry for BPS Walls in N=2 Nonlinear Sigma Models
• Domain Walls and Flux Tubes in N=2 SQCD: D-Brane Prototypes
• Mirror Mirror On The Wall: On 2d Black Holes and Liouville Theory
• Supersymmetric Intersecting Domain Walls in Massive Hyper-Kahler Sigma Models
• Exact Wall Solutions in 5-Dimensional SUSY QED at Finite Coupling
• Massive Nonlinear Sigma Models and BPS Domain Walls in Harmonic Superspace
• Domain Wall Junction in N=2 Supersymmetric QED in four dimensions
• An Index Theorem for Domain Walls in Supersymmetric Gauge Theories
• Massless Localized Vector Field on a Wall in D=5 SQED with Tensor Multiplets

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• Solitons on Singularities
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