A series expansion in eccentricity for elliptical Wilson loops in N=4 SYM, matching Dekel's strong-coupling area and giving a new one-loop weak-coupling correction.
Wavy Wilson Line and AdS/CFT
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abstract
Wilson loops which are small deviations from straight, infinite lines, called wavy lines, are considered in the context of the AdS/CFT correspondence. A single wavy line and the connected correlation function of a straight and wavy line are considered. It is argued that, to leading order in ``waviness'', the functional form of the loop is universal and the coefficient, which is a function of the 't Hooft coupling, is found in weak coupling perturbation theory and the strong coupling limit using the AdS/CFT correspondence. Supersymmetric arguments are used to simplify the computation and to show that the straight line obeys the Migdal-Makeenko loop equation.
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Elliptical Wilson loops in ${\cal N}=4$ Super Yang-Mills
A series expansion in eccentricity for elliptical Wilson loops in N=4 SYM, matching Dekel's strong-coupling area and giving a new one-loop weak-coupling correction.