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Positroids, Plabic Graphs, and Scattering Amplitudes in Mathematica

2012/12/31 by Jacob L. Bourjaily, Bourjaily, Jacob L. · 3 citations
Physics and Astronomy · #Particle physics theoretical and experimental studies #Noncommutative and Quantum Gravity Theories #Quantum Chromodynamics and Particle Interactions

paper · pdf · doi:10.48550/arxiv.1212.6974

Abstract

The many intricate connections between scattering amplitudes, on-shell diagrams, and the positroid stratification of the Grassmannian has recently been described in great detail. In order to facilitate the exploration of this rich correspondence, we have prepared a public Mathematica package called "positroids" which includes an array of useful tools including those for the construction of canonical coordinates for positroid configurations, the drawing of representative on-shell (plabic) graphs, and the evaluation of on-shell differential forms. This note documents the functions made available by the positroids package; the package's source code together with a Mathematica notebook containing many detailed examples of its functionality are included with this note's submission files on the arXiv.

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