Combinatorics of the geometry of Wilson loop diagrams I: equivalence classes via matroids and polytopes

DOI10.4153/S0008414X21000134zbMath1502.81053arXiv1908.10919OpenAlexW3135394925MaRDI QIDQ5095803

Karen Yeats, Susama Agarwala, Siân Fryer

Publication date: 10 August 2022

Published in: Canadian Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1908.10919

zbMATH Keywords

positroidsWilson loop diagrams\(N = 4\) SYM theory\(N^k MHV\) diagrams

Mathematics Subject Classification ID

Supersymmetric field theories in quantum mechanics (81T60) Yang-Mills and other gauge theories in quantum field theory (81T13) Feynman diagrams (81T18) (2)-body potential quantum scattering theory (81U05)

Related Items (3)

Combinatorics of the geometry of Wilson loop diagrams II: Grassmann necklaces, dimensions, and denominators ⋮ Cancellation of spurious poles in \(N=4\) SYM: physical and geometric ⋮ A study in \(\mathbb{G}_{\mathbb{R} , \geq 0} ( 2 , 6 )\): from the geometric case book of Wilson loop diagrams and SYM \(N =4\)

Cites Work

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• Wilson loop diagrams and positroids
• Wilson loops in SYM \(\mathcal{N}=4\) do not parametrize an orientable space
• Polygon dissections and Euler, Fuss, Kirkman, and Cayley numbers
• The twistor Wilson loop and the amplituhedron
• The correlahedron
• The amplituhedron
• Many non-equivalent realizations of the associahedron
• Grassmannian Geometry of Scattering Amplitudes
• Scattering amplitudes and Wilson loops in twistor space
• Lectures on Polytopes
• Parity duality for the amplituhedron
• Dyck paths and positroids from unit interval orders

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