Exact Results for 't Hooft Loops in Gauge Theories ... - Solvay Institutes

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Introduction Problem Definitions Method Solution Result Result Including the point instanton contributions at the north and south poles, we finally get the result 〈 ZT (B) 〉 = ∫ da ∣ Z north(ia − B ∣ ∣∣∣ 2 2 ) · Z equator (ia) where Z north is Nekrasov’s partition function including classical, (slightly modified) one-loop and the instanton factors. Our gauge theory result agrees with the computation in the Liouville/Toda theories by [Alday-Gaiotto-Tajikawa] conjecture performed by [Drukker,Gomis,Okuda,Teschner’09] and [Alday, Gaiotto, Gukov, Tachikawa, Verlinde’09] and [Gomis,Floch’10] . Vasily Pestun Localization for ’t Hooft operators on S 4 32/35
Introduction Problem Definitions Method Solution Result At the minimal B the result is exact. At higher B there are further corrections coming from the screening of the ’t Hooft loop by the monopoles condensing on the loop. Vasily Pestun Localization for ’t Hooft operators on S 4 33/35
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Exact Results for 't Hooft Loops in Gauge Theories ... - Solvay Institutes

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