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

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

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.

0031-9007
Drummond, James
3ea15544-457f-4e72-8ad0-60f3136841db
Foster, Jack
375960ff-578f-4309-93ef-4c55cecf76d2
Gürdoǧan, Ömer
841de8b6-4eb2-407f-a4c4-c8136403794d
Drummond, James
3ea15544-457f-4e72-8ad0-60f3136841db
Foster, Jack
375960ff-578f-4309-93ef-4c55cecf76d2
Gürdoǧan, Ömer
841de8b6-4eb2-407f-a4c4-c8136403794d

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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PhysRevLett.120.161601 - Version of Record
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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

Identifiers

Local EPrints ID: 420178
URI: http://eprints.soton.ac.uk/id/eprint/420178
ISSN: 0031-9007
PURE UUID: 44094dc1-3ae0-4fb0-b404-e52be2feaeb5

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Date deposited: 01 May 2018 16:30
Last modified: 07 Oct 2020 00:34

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