Computer algebra system for field theory problems

Kasper Peeters
2.x series
See also

This repository holds the 2.x series of the Cadabra computer algebra system.

Cadabra was designed specifically for the solution of problems encountered in field theory. It has extensive functionality for tensor computer algebra, tensor polynomial simplification including multi-term symmetries, fermions and anti-commuting variables, Clifford algebras and Fierz transformations, implicit coordinate dependence, multiple index types and many more. The input format is a subset of TeX. Both a command-line and a graphical interface are available.

The Cadabra system is built around the C++ expression storage class cadabra::Ex. This stores mathematical expressions in the form of a symbol tree. Properties, derived from cadabra::property, can be attached to symbols inside the tree. Algorithms, derived from cadabra::Algorithm, act on the cadabra::Ex objects, transforming their content by making use of the property information.

The C++ objects and algorithms can be accessed via Python (via the cadabra2 Python module built with the various files of the Python Core module), or they can be used directly through the use of Cadabra-as-a-library.

To get started with the source code documentation, navigate to the modules overview.