Towards the Amplituhedron Volume

Understand

It has been recently conjectured that scattering amplitudes in planar N=4 super Yang-Mills are given by the volume of the (dual) amplituhedron.

• In this paper we show some interesting connections between the tree-level amplituhedron and a special class of differential equations.
• In particular we demonstrate how the amplituhedron volume for NMHV amplitudes is determined by these differential equations.
• The new formulation allows for a straightforward geometric description, without any reference to triangulations.