Construction of Non-Abelian Walls and Their Complete Moduli Space
Youichi Isozumi, Muneto Nitta, Keisuke Ohashi, Norisuke Sakai
TL;DR
This work presents 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.
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.