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

**Source**: https://www.maths.tcd.ie/report_series/abstracts/tcdm1101.html
**Parent**: https://www.maths.tcd.ie/research/papers/

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

We explore maximally supersymmetric Yang-Mills
theory with walls of impurities respecting half of its
supersymmetry. 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 determining
Yang-Mills instantons on a multi Taub-NUT space.
Under the electric-magnetic duality, the fundamental- and
bifundamental-carrying impurity walls are interchanged,
while the super Yang-Mills theory describing the bulk is
mapped to itself. We perform a one-loop computation on the
Coulomb branch of the dual theory to find the asymptotic
metric on the original Higgs branch.