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Wavy Wilson line and AdS/CFT. (English) Zbl 1072.81050

Summary: 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.

MSC:

81T30 String and superstring theories; other extended objects (e.g., branes) in quantum field theory
81T13 Yang-Mills and other gauge theories in quantum field theory
81T10 Model quantum field theories

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