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

Introduction Problem Definitions Method Solution Result
Step 0. The Q.
The Q is defined by a conformal Killing spinor ε on S 4
∇ µ ε = Γ µ˜ε
In the R 4 conformal frame generic ε is
ε = ˆε s + x µ Γ µˆε c
We choose certain ε s (chiral right) and ε c (chiral right) and fix
Q = Q ε such that
Q 2 = J + R
where J is a self-dual rotation of S 4 and R is R-symmery in
OSp(2|4)
North pole x = 0, ε is chiral right
South pole x = ∞, ε is chiral left
Vasily Pestun Localization for ’t Hooft operators on S 4 15/35