Towards the Amplituhedron Volume
High Energy Physics - Theory
2016-03-23 v2
Abstract
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^kMHV amplitudes.
Keywords
Cite
@article{arxiv.1512.04954,
title = {Towards the Amplituhedron Volume},
author = {Livia Ferro and Tomasz Lukowski and Andrea Orta and Matteo Parisi},
journal= {arXiv preprint arXiv:1512.04954},
year = {2016}
}
Comments
21 pages; v2: version published in JHEP