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