Tropical Grassmannians, cluster algebras and scattering amplitudes

DOI10.1007/JHEP04(2020)146zbMath1436.81146arXiv1907.01053OpenAlexW2954838498MaRDI QIDQ780830

Jack Foster, James M. Drummond, Ömer Gürdoğan, Chrysostomos Kalousios

Publication date: 15 July 2020

Published in: Journal of High Energy Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1907.01053

zbMATH Keywords

scattering amplitudesdifferential and algebraic geometry

Mathematics Subject Classification ID

Grassmannians, Schubert varieties, flag manifolds (14M15) Applications of differential geometry to physics (53Z05) (2)-body potential quantum scattering theory (81U05)

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Cites Work

• Scattering of massless particles: scalars, gluons and gravitons
• Dressians, tropical Grassmannians, and their rays
• Cluster algebras of type \(D_4\), tropical planes, and the positive tropical Grassmannian
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• Boundaries of amplituhedra and NMHV symbol alphabets at two loops
• Scattering forms and the positive geometry of kinematics, color and the worldsheet
• \({\Delta}\)-algebra and scattering amplitudes
• The tropical totally positive Grassmannians
• Cluster adjacency beyond MHV
• Cluster algebras I: Foundations
• Cluster algebras IV: Coefficients
• The tropical Grassmannian