Positroids, Plabic Graphs, and Scattering Amplitudes in Mathematica
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.
Cite
@article{arxiv.1212.6974,
title = {Positroids, Plabic Graphs, and Scattering Amplitudes in Mathematica},
author = {Jacob L. Bourjaily},
journal= {arXiv preprint arXiv:1212.6974},
year = {2013}
}
Comments
24 pages, 9 figures. Included with the submission is the Mathematica package "positroids" and a notebook with many detailed examples