Positive geometries and differential forms with non-logarithmic singularities. I

DOI10.1007/JHEP08(2020)023zbMath1454.81239arXiv2005.03612OpenAlexW3106282033MaRDI QIDQ2225695

Matteo Parisi, Paolo Benincasa

Publication date: 10 February 2021

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

Full work available at URL: https://arxiv.org/abs/2005.03612

zbMATH Keywords

scattering amplitudesdifferential and algebraic geometry

Mathematics Subject Classification ID

Model quantum field theories (81T10) (S)-matrix theory, etc. in quantum theory (81U20)

Related Items (6)

Triangulations and canonical forms of amplituhedra: a fiber-based approach beyond polytopes ⋮ Positive geometry, local triangulations, and the dual of the amplituhedron ⋮ \( \mathcal{N} = 7\) on-shell diagrams and supergravity amplitudes in momentum twistor space ⋮ Towards the gravituhedron: new expressions for NMHV gravity amplitudes ⋮ Amplituhedron-like geometries ⋮ Amplituhedra, and beyond

Uses Software

• Maxima
• polymake
• SageMath
• TOPCOM
• TikZ
• pgf

Cites Work

• Eliminating spurious poles from gauge-theoretic amplitudes
• A note on polytopes for scattering amplitudes
• On graviton non-gaussianities during inflation
• Toric reduction and a conjecture of Batyrev and Materov
• On hyperplanes and polytopes
• Triangulations. Structures for algorithms and applications
• Sections of simplices
• Notes on scattering amplitudes as differential forms
• Gravity on-shell diagrams
• On-shell diagrams for \( \mathcal{N} =8\) supergravity amplitudes
• Scattering forms and the positive geometry of kinematics, color and the worldsheet
• Positive geometries and canonical forms
• On-shell diagrams and the geometry of planar \( \mathcal{N}<4 \) SYM theories
• Localization for nonabelian group actions
• The momentum amplituhedron
• Stokes polytopes: the positive geometry for \({\varphi}^4\) interactions
• Positive amplitudes in the amplituhedron
• Grassmannian Geometry of Scattering Amplitudes
• Exploration of the tree-level S-matrix of massless particles
• Amplituhedron meets Jeffrey–Kirwan residue
• Totally nonnegative Grassmannian and Grassmann polytopes
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