All-loop Mondrian reduction of 4-particle amplituhedron at positive infinity

DOI10.1016/J.NUCLPHYSB.2020.115086zbMath1473.81183arXiv1910.14612OpenAlexW2982348491MaRDI QIDQ821354

Junjie Rao

Publication date: 20 September 2021

Published in: Nuclear Physics. B (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1910.14612

Mathematics Subject Classification ID

Toric varieties, Newton polyhedra, Okounkov bodies (14M25) Supersymmetric field theories in quantum mechanics (81T60) Polyhedra and polytopes; regular figures, division of spaces (51M20) Grassmannians, Schubert varieties, flag manifolds (14M15) Yang-Mills and other gauge theories in quantum field theory (81T13) Feynman diagrams (81T18) Inelastic and multichannel quantum scattering (81U35)

Related Items (2)

Poles at infinity in on-shell diagrams ⋮ Non-planar BCFW Grassmannian geometries

Cites Work

• Constructing the correlation function of four stress-tensor multiplets and the four-particle amplitude in \(\mathcal{N}=4\) SYM
• Amplitudes and correlators to ten loops using simple, graphical bootstraps
• All-loop Mondrian diagrammatics and 4-particle amplituhedron
• 4-particle amplituhedron at 3-loop and its Mondrian diagrammatic implication
• Unwinding the amplituhedron in binary
• The amplituhedron
• The soft-collinear bootstrap: \(\mathcal{N} = {4}\) Yang-Mills amplitudes at six- and seven-loops
• Multi-particle amplitudes from the four-point correlator in planar \( \mathcal{N}=4\) SYM

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