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

Introduction Problem Definitions Method Solution Result
Step 2. The action S| Y0
Evaluating S 0 at supersymmetric configurations we get
(
S cl [a] = − 8π2 2π
2
g 2 Tr a2 +
g 2 + g2 θ 2 )
32π 2 Tr B 2
In terms of
we can rewrite
τ = θ
2π + 4πi
g 2
where
S cl [a] = −πiτ Tr â(N) 2 + πi¯τ Tr â(S) 2
â(N) = iΦ 0 (N) − Φ 9 (N)
â(S) = iΦ 0 (S) + Φ 9 (S)
are the parameters of the gauge transformation generated by
Q 2 at fixed points N and S
Vasily Pestun Localization for ’t Hooft operators on S 4 22/35