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arXiv · 1512.04954

Towards the Amplituhedron Volume

Livia Ferro·Tomasz Lukowski·Andrea Orta·Matteo Parisi
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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.

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Livia Ferro, Tomasz Lukowski, Andrea Orta, Matteo Parisi. 2016-03-02. Towards the Amplituhedron Volume. https://doi.org/10.1007/jhep03(2016)014

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