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

Introduction Problem Definitions Method Solution Result
More compact form of equations
Let
a i = 1 2 (D iΦ 9 + 1 2 ɛ ijkF jk ), b i = 1 2 (D iΦ 9 − 1 2 ɛ ijkF jk ).
Then the 3d equations on B 3 are
b i − δ i x i Φ 9 + δ i x 2 T ij a j = 0
where
δ 1 = δ 2 = −δ 3 = 1
T ij = δ ij − 2x ix j
x 2
Vasily Pestun Localization for ’t Hooft operators on S 4 20/35