FieldsX
swMATH ID:  34826 
Software Authors:  Markus B. Fröb 
Description:  FieldsX  An extension package for the xAct tensor computer algebra suite to include fermions, gauge fields and BRST cohomology. I present the tensor computer algebra package FieldsX, which extends the xAct suite of tensor algebra packages to perform computations in field theory with fermions and gauge fields. This includes the standard tools of curvedspace γ matrices, Fierz identities, invariant tensors on Lie algebras, arbitrary gradings and left and right variational derivatives, as well as the decomposition of spinor products into irreducible components following the approach of d’Auria, Fré, Maina and Regge [Annals Phys. 139 (1982) 93]. Lastly, it also includes functions to work with nilpotent differentials such as the BVBRST differential for (supersymmetric) gauge theories and to compute their (relative) cohomologies, from which anomalies and gaugeinvariant operators can be determined. I illustrate the use of the package with the example of N=1 SuperYang–Mills theory. 
Homepage:  https://arxiv.org/abs/2008.12422 
Dependencies:  Mathematica 
Keywords:  High Energy Physics; arXiv_hepth; General Relativity; Quantum Cosmology; arXiv_grqc; xAct; tensor computer algebra; Mathematica 
Related Software:  Cadabra; xTras; xPand; Spinors; xPert; xPerm; Invar; xAct; Mathematica 
Cited in:  0 Publications 
Standard Articles
1 Publication describing the Software  Year 

FieldsX  An extension package for the xAct tensor computer algebra suite to include fermions, gauge fields and BRST cohomology Markus B. Fröb 
2020
