Construction of Non-Abelian Walls and Their Complete Moduli Space
Youichi Isozumi, Muneto Nitta, Keisuke Ohashi, Norisuke Sakai
TL;DR
This paper develops a systematic method to construct all BPS multi-wall solutions in five-dimensional supersymmetric U(N_C) gauge theories with N_F hypermultiplets, revealing the moduli space as a complex Grassmann manifold with a deformed metric.
Contribution
It provides a complete construction method for non-Abelian BPS walls and characterizes their moduli space explicitly.
Findings
All BPS multi-wall solutions are systematically constructed.
The moduli space is identified as a complex Grassmann manifold.
The moduli space metric is deformed from the standard form.
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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