Advances in Theoretical and Mathematical Physics

Volume 13 (2009)

Number 3

$S$-duality of boundary conditions in ${\mathcal N}=4$ super Yang-Mills theory

Pages: 721 – 896



David Gaiotto (Institute for Advanced Study, Princeton)

Edward Witten (Institute for Advanced Study, Princeton)


By analyzing brane configurations in detail, and extracting general lessons, we develop methods for analyzing $S$-duality of supersymmetric boundary conditions in ${\mathcal N}=4$ 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.

Published 1 January 2009