Bipartite Graphs, On-Shell Diagrams, and Bipartite Field Theories: a Computational Package in Mathematica
arXiv:1702.03949
Abstract
We present bipartiteSUSY, a Mathematica package designed to perform calculations for physical theories based on bipartite graphs. In particular, the package can employ the recently developed arsenal of techniques surrounding on-shell diagrams in N=4 SYM scattering amplitudes, including those for non-planar diagrams, with particular attention to computational speed. It also contains a host of tools for computations in N=1 Bipartite Field Theories, which utilize the same bipartite graphs. Through the use of an interactive graphical tool, it is possible to draw the desired diagrams on the screen and compute commonly sought-after features. The package should be easily accessible to users with little or no previous experience in dealing with bipartite graphs and their combinatorial descriptions.
49 pages, 8 figures, and the Mathematica files containing the package
References in corpus (5)
- Total positivity, Grassmannians, and networks
- The Complete Four-Loop Four-Point Amplitude in N=4 Super-Yang-Mills Theory
- On the Singularity Structure of Maximally Supersymmetric Scattering Amplitudes
- Gauge Theories at Resolved and Deformed Singularities using Dimers
- Matching polytopes, toric geometry, and the non-negative part of the Grassmannian