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(NC) gauge theories in five dimensions with NF 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(NF)/(SU(NC)xSU(NF-NC)xU(1)) endowed with a deformed metric.

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