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

References in zbMATH (referenced in 20 articles )

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  1. Bourjaily, Jacob L.; Dulat, Falko; Panzer, Erik: Manifestly dual-conformal loop integration (2019)
  2. Bourjaily, Jacob L.; Herrmann, Enrico; Langer, Cameron; Mcleod, Andrew J.; Trnka, Jaroslav: Prescriptive unitarity for non-planar six-particle amplitudes at two loops (2019)
  3. Damgaard, David; Ferro, Livia; Lukowski, Tomasz; Parisi, Matteo: The momentum amplituhedron (2019)
  4. Golden, John; McLeod, Andrew J.: Cluster algebras and the subalgebra constructibility of the seven-particle remainder function (2019)
  5. Kanning, Nils; Staudacher, Matthias: Graßmannian integrals in Minkowski signature, amplitudes, and integrability (2019)
  6. Lippstreu, Luke; Mago, Jorge; Spradlin, Marcus; Volovich, Anastasia: Weak separation, positivity and extremal Yangian invariants (2019)
  7. Łukowski, Tomasz; Parisi, Matteo; Spradlin, Marcus; Volovich, Anastasia: Cluster adjacency for (m = 2) Yangian invariants (2019)
  8. Mago, Jorge; Schreiber, Anders; Spradlin, Marcus; Volovich, Anastasia: Yangian invariants and cluster adjacency in (\mathcalN= 4) Yang-Mills (2019)
  9. Bourjaily, Jacob L.; McLeod, Andrew J.; von Hippel, Matt; Wilhelm, Matthias: Rationalizing loop integration (2018)
  10. He, Song; Zhang, Chi: Notes on scattering amplitudes as differential forms (2018)
  11. Bork, L. V.; Onishchenko, A. I.: Wilson lines, Grassmannians and gauge invariant off-shell amplitudes in ( \mathcalN=4 ) SYM (2017)
  12. Bourjaily, Jacob L.; Herrmann, Enrico; Trnka, Jaroslav: Prescriptive unitarity (2017)
  13. Ferro, Livia; Łukowski, Tomasz; Orta, Andrea; Parisi, Matteo: Yangian symmetry for the tree amplituhedron (2017)
  14. Rao, Junjie: Positivity, Grassmannian geometry and simplex-like structures of scattering amplitudes (2017)
  15. Bourjaily, Jacob L.; Franco, Sebastián; Galloni, Daniele; Wen, Congkao: Stratifying on-shell cluster varieties: the geometry of non-planar on-shell diagrams (2016)
  16. Frassek, Rouven; Meidinger, David; Nandan, Dhritiman; Wilhelm, Matthias: On-shell diagrams, Graßmannians and integrability for form factors (2016)
  17. Herrmann, Enrico; Trnka, Jaroslav: Gravity on-shell diagrams (2016)
  18. Arkani-Hamed, Nima; Hodges, Andrew; Trnka, Jaroslav: Positive amplitudes in the amplituhedron (2015)
  19. Bourjaily, Jacob L.; Trnka, Jaroslav: Local integrand representations of all two-loop amplitudes in planar SYM (2015)
  20. Olson, Timothy M.: Orientations of BCFW charts on the Grassmannian (2015)