  In the context of AdS/CFT we provide analytical support for the proposed
duality between a Wilson loop with a cusp, the cusp anomalous dimension, and
the meson model constructed from a rotating open string with high angular
momentum. This duality was previously studied using numerical tools in [1]. Our
result implies that the minimum of the profile function of the minimal area
surface dual to the Wilson loop, is related to the inverse of the bulk
penetration of the dual string that hangs from the quark--anti-quark pair
(meson) in the gauge theory.
