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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 />

∫<br />

Z =<br />

X<br />

Localization summary<br />

e −S = ∑ ∫<br />

e −S| Yα Z1−loop [N Yα ]<br />

α Y α⊂X<br />

where:<br />

Q is a fermionic symmetry<br />

Q 2 = R is a bosonic symmetry<br />

QS = 0<br />

X = {Φ} is a space of fields<br />

Y α = {Φ|QΨ = 0} are components of the localization locus<br />

N Yα - normal bundle to Y α ⊂ X.<br />

Vasily Pestun Localization <strong>for</strong> ’t <strong>Hooft</strong> operators on S 4 13/35

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