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The 1/2 BPS 't Hooft loops in N=4 SYM as instantons in 2d Yang-Mills

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arxiv 0909.4272 v1 pith:HFYMU3L5 submitted 2009-09-23 hep-th

classification hep-th
keywords hooftoperatorsyang-millscorrelationfunctionstheoryagreementcaptured
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We extend the recent conjecture on the relation between a certain 1/8 BPS subsector of 4d N=4 SYM on S^2 and 2d Yang-Mills theory by turning on circular 1/2 BPS 't Hooft operators linked with S^2. We show that localization predicts that these 't Hooft operators and their correlation functions with Wilson operators on S^2 are captured by instanton contributions to the partition function of the 2d Yang-Mills theory. Based on this prediction, we compute explicitly correlation functions involving the 't Hooft operator, and observe precise agreement with S-duality predictions.

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Cited by 1 Pith paper

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  1. Lattice defect networks in 2d Yang-Mills

    hep-th 2025-01 conditional novelty 6.0 of 10

    A refined lattice construction for 2d Yang-Mills realizes Wilson lines, Wilson points, theta angles, and defect networks as local n-line junctions that close under fusion.

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