In planar N=4 Super-Yang-Mills theory there is a map between gluons scattering amplitudes and null polygonal Wilson loops. This remarkable duality allows one to make an important step forward by Operator-Product-Expanding the scattering amplitudes. This action breaks down the four-dimensional amplitudes into a sequence of two-dimensional processes taking place on the flux tube sourced by the dual Wilson loops. In this talk I will review how this picture works at finite coupling and explain how to partially re-sum the OPE at strong coupling.

ENS Paris