Mirror symmetry of 3D N=4 gauge theories and supersymmetric indices

Abstract

We compute supersymmetric indices to test mirror symmetry of three-dimensional (3D) N=4 gauge theories and dualities of half-Bogomol'ny Prasad Sommerfield enriched boundary conditions and interfaces in four-dimensional N=4 super Yang-Mills theory. We find the matching of indices as strong evidences for various dualities of the 3D interfaces conjectured by Gaiotto and Witten under the action of S-duality in Type IIB string theory.