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arXiv · 1107.5702

Correlation function of null polygonal Wilson loops with local operators

L. F. Alday·E. I. Buchbinder·A. A. Tseytlin
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Abstract

We consider the correlator of a light-like polygonal Wilson loop with n cusps with a local operator (like the dilaton or the chiral primary scalar) in planar N =4 super Yang-Mills theory. As a consequence of conformal symmetry, the main part of such correlator is a function F of 3n-11 conformal ratios. The first non-trivial case is n=4 when F depends on just one conformal ratio ζ. This makes the corresponding correlator one of the simplest non-trivial observables that one would like to compute for generic values of the `t Hooft coupling λ. We compute F(ζ,λ) at leading order in both the strong coupling regime (using semiclassical AdS5 x S5 string theory) and the weak coupling regime (using perturbative gauge theory). Some results are also obtained for polygonal Wilson loops with more than four edges. Furthermore, we also discuss a connection to the relation between a correlator of local operators at null-separated positions and cusped Wilson loop suggested in arXiv:1007.3243.

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L. F. Alday, E. I. Buchbinder, A. A. Tseytlin. 2011-07-28. Correlation function of null polygonal Wilson loops with local operators. https://doi.org/10.1007/jhep09(2011)034

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