Super Yang-Mills Theory with Impurity Walls and Instanton Moduli Spaces

Details Super Yang-Mills Theory with Impurity Walls and Instanton Moduli Spaces Super Yang-Mills Theory with Impurity Walls and Instanton Moduli Spaces

2011-02-28

arxiv.org/abs/1103.0042v2

Phys.Rev.D83:126009,2011

Physics

High Energy Physics

High Energy Physics - Theory

1+37 pages, version published in PRD

Scientific paper

10.1103/PhysRevD.83.126009

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.

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