Construction of Non-Abelian Walls and their Complete Moduli Space

Abstract

We present a systematic method to construct exactly all Bogomol'nyi-Prasad-Sommerfield multiwall solutions in supersymmetric 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)) divided by SU(N(C))xSU(N(F)-N(C))xU(1) endowed with a deformed metric.