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

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