Exact Results for 't Hooft Loops in Gauge Theories ... - Solvay Institutes
Exact Results for 't Hooft Loops in Gauge Theories ... - Solvay Institutes
Exact Results for 't Hooft Loops in Gauge Theories ... - Solvay Institutes
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Introduction Problem Def<strong>in</strong>itions Method Solution Result<br />
Step 2. The action S| Y0<br />
Evaluat<strong>in</strong>g S 0 at supersymmetric configurations we get<br />
(<br />
S cl [a] = − 8π2 2π<br />
2<br />
g 2 Tr a2 +<br />
g 2 + g2 θ 2 )<br />
32π 2 Tr B 2<br />
In terms of<br />
we can rewrite<br />
τ = θ<br />
2π + 4πi<br />
g 2<br />
where<br />
S cl [a] = −πiτ Tr â(N) 2 + πi¯τ Tr â(S) 2<br />
â(N) = iΦ 0 (N) − Φ 9 (N)<br />
â(S) = iΦ 0 (S) + Φ 9 (S)<br />
are the parameters of the gauge trans<strong>for</strong>mation generated by<br />
Q 2 at fixed po<strong>in</strong>ts N and S<br />
Vasily Pestun Localization <strong>for</strong> ’t <strong>Hooft</strong> operators on S 4 22/35