2009/09/23 by Simone Giombi, Giombi, Simone, Vasily Pestun +1 · 5 citations
Mathematics · Physics and Astronomy · #Algebraic structures and combinatorial models #Black Holes and Theoretical Physics #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Nonlinear Waves and Solitons #hep-th
paper · pdf · doi:10.48550/arxiv.0909.4272
30 pages, no figures
arxiv created 2009/09/23 · openalex publication_date 2009/09/23 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We extend the recent conjecture on the relation between a certain 1/8 BPS subsector of 4d N=4 SYM on S2 and 2d Yang-Mills theory by turning on circular 1/2 BPS 't Hooft operators linked with S2. We show that localization predicts that these 't Hooft operators and their correlation functions with Wilson operators on S2 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.