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.
hep-th
Drummond, James
3ea15544-457f-4e72-8ad0-60f3136841db
Foster, Jack
375960ff-578f-4309-93ef-4c55cecf76d2
Gürdoǧan, Ömer
841de8b6-4eb2-407f-a4c4-c8136403794d
20 April 2018
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).
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.
More information
Accepted/In Press date: 22 December 2017
e-pub ahead of print date: 16 April 2018
Published date: 20 April 2018
Additional Information:
H2020 European Research Council (648630 IQFT)
Keywords:
hep-th
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: 15 Mar 2024 19:43
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Author:
Jack Foster
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