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 />
Solution strategy<br />
We need to localize the path <strong>in</strong>tegral of N = 2 gauge theory on<br />
S 4 <strong>in</strong> the presence of ’t <strong>Hooft</strong> s<strong>in</strong>gularity.<br />
0 Def<strong>in</strong>e the action S, the t’ <strong>Hooft</strong> operator T and the<br />
fermionic operator Q compatible with S and T<br />
1 F<strong>in</strong>d the localization loci Y α (solve QΨ = 0).<br />
2 Compute exp(−S| Yα )<br />
3 Compute the determ<strong>in</strong>ant Z 1−loop [N Yα ]<br />
4 Integrate over Y α and sum over α<br />
Vasily Pestun Localization <strong>for</strong> ’t <strong>Hooft</strong> operators on S 4 14/35