Article ID Journal Published Year Pages File Type
1844148 Nuclear Physics B 2009 39 Pages PDF
Abstract

We study the Operator Product Expansion of Wilson–'t Hooft operators in a twisted N=4N=4 super-Yang–Mills theory with gauge group G  . The Montonen–Olive duality puts strong constraints on the OPE and in the case G=SU(2)G=SU(2) completely determines it. From the mathematical point of view, the Montonen–Olive duality predicts the L2L2 Dolbeault cohomology of certain equivariant vector bundles on Schubert cells in the affine Grassmannian. We verify some of these predictions. We also make some general observations about higher categories and defects in Topological Field Theories.

Related Topics
Physical Sciences and Engineering Mathematics Mathematical Physics
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