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Cluster adjacency properties of scattering amplitudes in N=4 supersymmetric Yang-Mills Theory

Drummond, James, Foster, Jack and Gürdoǧan, Ömer (2018) Cluster adjacency properties of scattering amplitudes in N=4 supersymmetric Yang-Mills Theory. Physical Review Letters, 120 (16), [161601]. (doi:10.1103/PhysRevLett.120.161601).

Record type: Article

Abstract

We conjecture a new set of analytic relations for scattering amplitudes in planar N=4 super Yang-Mills theory. They generalize 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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Accepted/In Press date: 22 December 2017

e-pub ahead of print date: 16 April 2018

Published date: 20 April 2018

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Identifiers

Local EPrints ID: 420178

URI: http://eprints.soton.ac.uk/id/eprint/420178

DOI: doi:10.1103/PhysRevLett.120.161601

ISSN: 0031-9007

PURE UUID: 44094dc1-3ae0-4fb0-b404-e52be2feaeb5

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Date deposited: 01 May 2018 16:30

Last modified: 09 Jan 2022 04:26

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Contributors

Author: James Drummond

Author: Jack Foster

Author: Ömer Gürdoǧan

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