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

Abstract

We compute supersymmetric indices to test mirror symmetry of three-dimensional N=4 gauge theories and dualities of half-BPS 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.

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