"GammaMaP" - A Mathematica Package for Clifford Algebras, Gamma Matrices and Spinors

Abstract

We present a Mathematica package for doing computations with gamma matrices, spinors, tensors and other objects, in any dimension and signature. The approach we use is based on defining the commutation relations of the relevant matrices, and is thus general and flexible. As examples, we reproduce torsion conditions for $Ad{S}_3$ compactification of type IIB supergravity from literature, and check the vanishing of supersymmetry variations of 10-dimensional supersymmetric Yang-Mills theory.

Comments: 113 pages; Mathematica files can be downloaded at https://github.com/PyryKuusela/GammaMaP