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Wavy Line Wilson Loops in the AdS/CFT correspondence Young, Donovan

Abstract

Wilson loops which are close to straight, infinite lines are considered in the context of the AdS/CFT correspondence. The work concentrates on CFT side calculations. The one line self energy and the connected correlator of two lines are considered. Results are presented as functionals of the "waviness" function which describes the departure of the Wilson loop from a straight line. The calculations are performed to second order in waviness. The one wavy line expectation value is computed to second order in the 't Hooft coupling, while the two wavy line correlator is calculated to third (leading) order in the 't Hooft coupling. Comparisons of the CFT results to AdS side calculations show behaviour consistent with the AdS/CFT correspondence.

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