Positroids, Plabic Graphs, and Scattering Amplitudes in Mathematica

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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Work Title Positroids, Plabic Graphs, and Scattering Amplitudes in Mathematica
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Open Access
Creators
  1. Jacob L. Bourjaily
License In Copyright (Rights Reserved)
Work Type Article
Publisher
  1. arXiv
Publication Date December 31, 2012
Publisher Identifier (DOI)
  1. https://doi.org/10.48550/arXiv.1212.6974
Deposited November 19, 2024

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