Positive geometry, local triangulations, and the dual of the amplituhedron

DOI10.1007/JHEP01(2021)035zbMath1459.81108arXiv2009.05607OpenAlexW3118978595MaRDI QIDQ2024206

Minshan Zheng, Enrico Herrmann, Cameron Langer, Jaroslav Trnka

Publication date: 3 May 2021

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

Full work available at URL: https://arxiv.org/abs/2009.05607

zbMATH Keywords

scattering amplitudessupersymmetric gauge theory

Mathematics Subject Classification ID

Supersymmetric field theories in quantum mechanics (81T60) (2)-body potential quantum scattering theory (81U05)

Related Items (13)

Poles at infinity in on-shell diagrams ⋮ The ABJM Amplituhedron ⋮ The amplituhedron crossing and winding numbers ⋮ Non-planar BCFW Grassmannian geometries ⋮ Algebraic branch points at all loop orders from positive kinematics and wall crossing ⋮ Kleiss-Kuijf relations from momentum amplituhedron geometry ⋮ \( \mathcal{N} = 7\) on-shell diagrams and supergravity amplitudes in momentum twistor space ⋮ Towards the gravituhedron: new expressions for NMHV gravity amplitudes ⋮ Amplituhedron-like geometries ⋮ Nonperturbative negative geometries: amplitudes at strong coupling and the amplituhedron ⋮ Maximal transcendental weight contribution of scattering amplitudes ⋮ Pentagon Wilson loop with Lagrangian insertion at two loops in \(\mathcal{N} = 4\) super Yang-Mills theory ⋮ The SAGEX review on scattering amplitudes Chapter 7: Positive geometry of scattering amplitudes

Uses Software

• amplituhedronBoundaries

Cites Work

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• Twistor Algebra
• Boundaries of the amplituhedron with \texttt{amplituhedronBoundaries}

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