S-duality of boundary conditions in N=4 super Yang-Mills theory

By analyzing brane configurations in detail, and extracting general lessons, we develop methods for analyzing S-duality of supersymmetric boundary conditions in N = 4 super Yang-Mills theory. In the process, we find that S-duality of boundary conditions is closely related to mirror symmetry of three-dimensional gauge theories, and we analyze the IR behavior of large classes of quiver gauge theories. Contents 1 Introduction 2 Brane constructions for unitary groups 2.1 Brane construction of boundary conditions 2.2 Ordering of branes 2.2.