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We consider the ratio of the correlation function of an hexagon light-likeWilson loop with one local operator over the expectation value of the Wilsonloop within the strong-coupling regime of the AdS/CFT correspondence. We choosethe hexagon Wilson loop within a class of minimal solutions obtained by cuttingand gluing light-like quadrangle loops. These surfaces do not have aninterpretation in terms of dual scattering amplitudes but they still exhibitgeneral features of the mixed correlation function. In the case of a regularnull hexagon conformal symmetry constrains the space-time dependence of thecorrelator up to a function of three conformal cross-ratios. We obtain theleading-order contribution to the correlation function in the semiclassicalapproximation of large string tension, and express the result in terms of threeconformal ratios in the case where the local operator is taken to be thedilaton. We include the analysis of an irregular Wilson loop obtained after aboost of the regular hexagon.

Holographic correlation functions of hexagon Wilson loops with one local operator