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

DOI: http://dx.doi.org/10.4310/ATMP.2009.v13.n3.a5

Authors

David Gaiotto (Institute for Advanced Study, Princeton)

Edward Witten (Institute for Advanced Study, Princeton)

Abstract

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.

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