Boundaries of the amplituhedron with \texttt{amplituhedronBoundaries}

DOI10.1016/j.cpc.2020.107653zbMath1530.81132arXiv2002.07146OpenAlexW3005979320MaRDI QIDQ6045172

Tomasz Lukowski, Robert Moerman

Publication date: 26 May 2023

Published in: Computer Physics Communications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2002.07146

zbMATH Keywords

scattering amplitudessupersymmetric gauge theoriesamplituhedronmomentum amplituhedronpositive geometries

Mathematics Subject Classification ID

Quantum computation (81P68) Grassmannians, Schubert varieties, flag manifolds (14M15) Applications of differential geometry to physics (53Z05) Supersymmetry and quantum mechanics (81Q60) (2)-body potential quantum scattering theory (81U05) Yang-Mills and other gauge theories in mechanics of particles and systems (70S15) Algebraic aspects of posets (06A11) Packaged methods for numerical algorithms (65Y15)

Related Items (8)

Grass(mannian) trees and forests: Variations of the exponential formula, with applications to the momentum amplituhedron ⋮ The hypersimplex canonical forms and the momentum amplituhedron-like logarithmic forms ⋮ The loop momentum amplituhedron ⋮ Mini-workshop: Scattering amplitudes, cluster algebras, and positive geometries. Abstracts from the mini-workshop held December 5--11, 2021 (hybrid meeting) ⋮ On the geometry of the orthogonal momentum amplituhedron ⋮ Kleiss-Kuijf relations from momentum amplituhedron geometry ⋮ Positive geometry, local triangulations, and the dual of the amplituhedron ⋮ Towards the gravituhedron: new expressions for NMHV gravity amplitudes

Cites Work

• Decompositions of amplituhedra
• Totally positive matrices and cyclic polytopes
• On the boundaries of the \(m = 2\) amplituhedron
• Parity duality for the amplituhedron
• The $m=1$ Amplituhedron and Cyclic Hyperplane Arrangements
• The totally nonnegative Grassmannian is a ball

This page was built for publication: Boundaries of the amplituhedron with \texttt{amplituhedronBoundaries}