Abstract: It has been recently conjectured that scattering amplitudes in planar (Formula presented.) 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 NkMHV amplitudes.
CITATION STYLE
Ferro, L., Lukowski, T., Orta, A., & Parisi, M. (2016). Towards the amplituhedron volume. Journal of High Energy Physics, 2016(3). https://doi.org/10.1007/JHEP03(2016)014
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