$S$-duality of boundary conditions in ${\mathcal N}=4$ 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.

• NS
  National Science Foundation

  Awards: DE-FG02-90ER40542, 0503584, PHY-0503584
• UD
  U.S. Department of Energy

  Awards: DE-FG02-90ER40542, DE-FG02-, FG02-90ER40542, DE-FG02