Boundaries of the amplituhedron with amplituhedronBoundaries

Positive geometries provide a modern approach for computing scattering amplitudes in variety of physical models. In order to facilitate the exploration these new geometric methods, we introduce Mathematica package called “amplituhedronBoundaries” calculating boundary structures three positive geometries: amplituhedron, momentum amplituhedron and hypersimplex. The first two are relevant planar N=4 supersymmetric Yang–Mills theory, while last one is well-studied polytope appearing many contexts mathematics, closely related m=2 amplituhedron. includes an array useful tools study geometries, including their stratifications, drawing posets, additional manipulating combinatorial Grassmannians. Program title: amplituhedronBoundaries CPC Library link program files: https://doi.org/10.17632/fhcnzn3z96.1 Developer’s repository link: https://github.com/mrmrob003/amplituhedronBoundaries Licensing provisions: GNU General Public License 3 Programming language: Wolfram 11.0 Nature problem: facilitates determination stratifications sYM, important mathematics. Solution method: exploring aforementioned Restrictions: or above