Y-system for Scattering Amplitudes

Understand

We compute N=4 Super Yang Mills planar amplitudes at strong coupling by considering minimal surfaces in AdS_5 space.

• The surfaces end on a null polygonal contour at the boundary of AdS.
• We show how to compute the area of the surfaces as a function of the conformal cross ratios characterizing the polygon at the boundary.
• We reduce the problem to a simple set of functional equations for the cross ratios as functions of the spectral parameter.