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arXiv · 1710.10953

Cluster adjacency properties of scattering amplitudes

James Drummond·Jack Foster·Omer Gurdogan
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Abstract

We conjecture a new set of analytic relations for scattering amplitudes in planar N=4 super Yang-Mills theory. They generalise the Steinmann relations and are expressed in terms of the cluster algebras associated to Gr(4,n). In terms of the symbol, they dictate which letters can appear consecutively. We study heptagon amplitudes and integrals in detail and present symbols for previously unknown integrals at two and three loops which support our conjecture.

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James Drummond, Jack Foster, Omer Gurdogan. 2017-10-30. Cluster adjacency properties of scattering amplitudes. https://doi.org/10.1103/physrevlett.120.161601

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