Wilson‑loop dual of the four‑point Coulomb‑branch amplitude

Determine the Wilson‑loop dual observable corresponding to the four‑point scattering amplitude on the Coulomb branch of planar N=4 SYM, thereby generalizing the amplitude/Wilson‑loop duality known for null polygonal Wilson loops in the conformal theory.

Background

In the conformal planar limit of N=4 SYM, gluon amplitudes are dual to expectation values of null polygonal Wilson loops. The authors point out that an analogous duality for Coulomb‑branch scattering has not been established.

Clarifying the Wilson‑loop dual in this setting would provide new computational tools and deepen understanding of dual conformal symmetry in the presence of Coulomb‑branch masses.