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Tropical Grassmannians, cluster algebras and scattering amplitudes

Tropical Grassmannians, cluster algebras and scattering amplitudes
Tropical Grassmannians, cluster algebras and scattering amplitudes
We provide a cluster-algebraic approach to the computation of the recently introduced generalised biadjoint scalar amplitudes related to Grassmannians Gr(k, n). A finite cluster algebra provides a natural triangulation for the tropical Grassmannian whose volume computes the scattering amplitudes. Using this method one can construct the entire colour-ordered amplitude via mutations starting from a single term.
1126-6708
Drummond, James
3ea15544-457f-4e72-8ad0-60f3136841db
Foster, Jack
375960ff-578f-4309-93ef-4c55cecf76d2
Gürdoğan, Ömer
841de8b6-4eb2-407f-a4c4-c8136403794d
Kalousios, Chrysostomos
bb47cef9-3c7c-4108-99cb-9e80cd8ed704
Drummond, James
3ea15544-457f-4e72-8ad0-60f3136841db
Foster, Jack
375960ff-578f-4309-93ef-4c55cecf76d2
Gürdoğan, Ömer
841de8b6-4eb2-407f-a4c4-c8136403794d
Kalousios, Chrysostomos
bb47cef9-3c7c-4108-99cb-9e80cd8ed704

Drummond, James, Foster, Jack, Gürdoğan, Ömer and Kalousios, Chrysostomos (2020) Tropical Grassmannians, cluster algebras and scattering amplitudes. JHEP, 2020, [146]. (doi:10.1007/JHEP04(2020)146).

Record type: Article

Abstract

We provide a cluster-algebraic approach to the computation of the recently introduced generalised biadjoint scalar amplitudes related to Grassmannians Gr(k, n). A finite cluster algebra provides a natural triangulation for the tropical Grassmannian whose volume computes the scattering amplitudes. Using this method one can construct the entire colour-ordered amplitude via mutations starting from a single term.

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JHEP04(2020)146 - Version of Record
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Accepted/In Press date: 8 March 2020
Published date: 22 April 2020
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Identifiers

Local EPrints ID: 496194
URI: http://eprints.soton.ac.uk/id/eprint/496194
DOI: doi:10.1007/JHEP04(2020)146
ISSN: 1126-6708
PURE UUID: e5b3b134-efc3-40f3-a52b-2d589a3b7945

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Date deposited: 06 Dec 2024 17:37
Last modified: 06 Dec 2024 17:52

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Contributors

Author: James Drummond
Author: Jack Foster
Author: Ömer Gürdoğan
Author: Chrysostomos Kalousios

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