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.
|Number of pages||18|
|Journal||Physical Review D - Particles, Fields, Gravitation and Cosmology|
|Publication status||Published - 20 Jun 2011|
Cherkis, S., O'Hara, C., & Saemann, C. (2011). Super Yang-Mills Theory with Impurity Walls and Instanton Moduli Spaces. Physical Review D - Particles, Fields, Gravitation and Cosmology, 83(12), . https://doi.org/10.1103/PhysRevD.83.126009