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The algebra of Wilson-'t Hooft operators

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arxiv 0710.2097 v1 pith:ANQWHW6R submitted 2007-10-10 hep-th math.AG

Anton Kapustin , Natalia Saulina This is my paper · ORCID
classification hep-thmath.AG
keywords dualityhooftmontonen-oliveoperatorssomewilson-affinealgebra
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We study the Operator Product Expansion of Wilson-'t Hooft operators in a twisted N=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) completely determines it. From the mathematical point of view, the Montonen-Olive duality predicts the L^2 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.

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  1. Schur Connections: Chord Counting, Line Operators, and Indices

    hep-th 2025-06 conditional novelty 7.0 of 10

    The Schur half-index of pure 4d N=2 SU(N) SYM with Wilson line insertions equals a q-oscillator vacuum expectation value, shown to be the partition function of the relativistic open Toda chain.

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