The University of Southampton
University of Southampton Institutional Repository

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.
hep-th
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.

Text
1710.10953v1
Download (172kB)

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

Catalogue record

Date deposited: 01 May 2018 16:30
Last modified: 05 Jun 2024 17:33

Export record

Altmetrics

Contributors

Author: James Drummond
Author: Jack Foster

Download statistics

Downloads from ePrints over the past year. Other digital versions may also be available to download e.g. from the publisher's website.

View more statistics

Atom RSS 1.0 RSS 2.0

Contact ePrints Soton: eprints@soton.ac.uk

ePrints Soton supports OAI 2.0 with a base URL of http://eprints.soton.ac.uk/cgi/oai2

This repository has been built using EPrints software, developed at the University of Southampton, but available to everyone to use.

We use cookies to ensure that we give you the best experience on our website. If you continue without changing your settings, we will assume that you are happy to receive cookies on the University of Southampton website.

×