Super Yang-Mills Theory with Impurity Walls and Instanton Moduli Spaces
Abstract
We explore maximally supersymmetric Yang-Mills theory with walls of impurities respecting half of the supersymmetries. The walls carry fundamental or bifundamental matter multiplets. We employ three-dimensional N=2 superspace language to identify the Higgs branch of this theory. We find that the vacuum conditions determining the Higgs branch are exactly the bow equations yielding Yang-Mills instantons on a multi-Taub-NUT space. Under electric-magnetic duality, the super Yang-Mills theory describing the bulk is mapped to itself, while the fundamental- and bifundamental-carrying impurity walls are interchanged. We perform a one-loop computation on the Coulomb branch of the dual theory to find the asymptotic metric on the original Higgs branch.
Keywords
Cite
@article{arxiv.1103.0042,
title = {Super Yang-Mills Theory with Impurity Walls and Instanton Moduli Spaces},
author = {Sergey A. Cherkis and Clare O'Hara and Christian Saemann},
journal= {arXiv preprint arXiv:1103.0042},
year = {2011}
}
Comments
1+37 pages, version published in PRD