# Bipartite Graphs, On-Shell Diagrams, and Bipartite Field Theories: a   Computational Package in Mathematica

**Authors:** Daniele Galloni

arXiv: 1702.03949 · 2017-02-15

## TL;DR

bipartiteSUSY is a Mathematica package that simplifies calculations involving bipartite graphs in supersymmetric theories and on-shell diagrams, supporting both planar and non-planar cases with interactive visualization tools.

## Contribution

the package provides an accessible, efficient computational tool for analyzing bipartite graphs in supersymmetric theories, including non-planar diagrams and on-shell amplitude techniques.

## Key findings

- supports non-planar diagram calculations
- includes interactive diagram drawing tools
- improves computational speed for complex graphs

## 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.

## Full text

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## Figures

8 figures with captions in the complete paper: https://tomesphere.com/paper/1702.03949/full.md

## References

51 references — full list in the complete paper: https://tomesphere.com/paper/1702.03949/full.md

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Source: https://tomesphere.com/paper/1702.03949