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By analyzing brane configurations in detail, and extracting general lessons,we develop methods for analyzing S-duality of supersymmetric boundaryconditions in N=4 super Yang-Mills theory. In the process, we find thatS-duality of boundary conditions is closely related to mirror symmetry ofthree-dimensional gauge theories, and we analyze the IR behavior of largeclasses of quiver gauge theories.

S-Duality of Boundary Conditions In N=4 Super Yang-Mills Theory