# Dualities of corner configurations and supersymmetric indices Academic Article

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• Abstract We compute supersymmetric indices which count local operators at certain half-BPS interfaces and quarter-BPS junctions of interfaces in four-dimensional $$\mathcal{N}$$ N = 4 Super Yang-Mills theory. We use the indices as very stringent tests of a variety of string theory-inspired conjectures about the action of S-duality on such defects.