Abstract
Correlation functions of 1 / 4 BPS Wilson loops with the infinite family of 1 / 2 BPS chiral primary operators are computed in N = 4 super-Yang–Mills theory by summing planar ladder diagrams. Leading loop corrections to the sum are shown to vanish. The correlation functions are also computed in the strong-coupling limit by examining the supergravity dual of the loop–loop correlator. The strong coupling result is found to agree with the extrapolation of the planar ladders. The result is related to known correlators of 1 / 2 BPS Wilson loops and 1 / 2 BPS chiral primaries by a simple re-scaling of the coupling constant, similar to an observation of Drukker [N. Drukker, hep-th/0605151] for the case of the 1 / 4 BPS loop vacuum expectation value.
Highlights
The study of the properties of highly symmetric states has provided considerable insight into the AdS/CFT correspondence
In the case of 1/2 BPS local chiral operators and 1/2 BPS Wilson loops of N = 4 supersymmetric Yang–Mills theory, their correspondence with 1/2 BPS gravitons and fundamental string world-sheets has been generalized to large operators where a beautiful picture of giant gravitons [1,2,3], giant Wilson loops [4,5,6,7,8,9,10,11,12,13,14,15] and bubbling geometries [16] has emerged
The matrix model is thought to coincide with the sum of all Feynman diagrams
Summary
The study of the properties of highly symmetric states has provided considerable insight into the AdS/CFT correspondence. In the case of 1/2 BPS Wilson loops, an essential component of the bubbling loop picture is the ability to compute the loop expectation value and correlators of the loop with chiral primary operators in Yang–Mills theory by summing planar diagrams [11,17,18,19,20,21].
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