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Branes and Quantization
Sergei Gukov, Edward Witten
The problem of quantizing a symplectic manifold (M,ω) can be formulated in terms of the A-model of a complexification of M. This leads to an interesting new perspective on quantiza…
S-Duality of Boundary Conditions In N=4 Super Yang-Mills Theory
Davide Gaiotto, Edward Witten
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-Mill…
Janus Configurations, Chern-Simons Couplings, And The Theta-Angle in N=4 Super Yang-Mills Theory
Davide Gaiotto, Edward Witten
We generalize the half-BPS Janus configuration of four-dimensional N=4 super Yang-Mills theory to allow the theta-angle, as well as the gauge coupling, to vary with position. We sh…
Rigid Surface Operators
Sergei Gukov, Edward Witten
Surface operators in gauge theory are analogous to Wilson and 't Hooft line operators except that they are supported on a two-dimensional surface rather than a one-dimensional curv…
Supersymmetric Boundary Conditions in N=4 Super Yang-Mills Theory
Davide Gaiotto, Edward Witten
We study boundary conditions in N=4 super Yang-Mills theory that preserve one-half the supersymmetry. The obvious Dirichlet boundary conditions can be modified to allow some of the…
Mirror Symmetry, Hitchin's Equations, And Langlands Duality
Edward Witten
Geometric Langlands duality can be understood from statements of mirror symmetry that can be formulated in purely topological terms for an oriented two-manifold . But understand…