Towards the amplituhedron volume

Ferro, Livia; Lukowski, Tomasz; Orta, Andrea und Parisi, Matteo (2016): Towards the amplituhedron volume. In: Journal of High Energy Physics, No. 3, 014

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 (NMHV)-M-k amplitudes.

• Item Type: Journal article
• Faculties: Physics
• Subjects: 500 Science > 530 Physics
• ISSN: 1029-8479
• Language: English