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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

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 />

Loop operators are important gauge theory observables.<br />

Wilson loop operator measures effective <strong>for</strong>ces between<br />

quarks.<br />

(locally) supersymmetric Wilson loop operator was the key<br />

object <strong>in</strong> several AdS/CFT studies <strong>for</strong> N = 4 SYM<br />

• [Erickson-Semenoff-Zarembo] and [Drukker-Gross] circular<br />

1/2 BPS Wilson loops <strong>in</strong> N = 4 SYM<br />

• [Alday-Maldacena] polygonal Wilson loops and amplitudes<br />

<strong>in</strong> N = 4 SYM<br />

At λ → ∞, Wilson loop C ⊂ R 4 is dual to the m<strong>in</strong>imal surface <strong>in</strong><br />

AdS land<strong>in</strong>g on C ⊂ R 4<br />

Vasily Pestun Localization <strong>for</strong> ’t <strong>Hooft</strong> operators on S 4 3/35

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