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. Finally we discuss possible implications for volumes related to generic N k MHV amplitudes.
No takes yet. Share an insight, caveat, or question.
Ferro et al. (2016) studied this question.
Synapse has enriched 3 closely related papers on similar clinical questions. Consider them for comparative context: