Cadabra – symbolic computer algebra system for field theory problems

Last Updated on September 5, 2023

Cadabra is a symbolic computer algebra system (CAS) designed specifically for the solution of problems encountered in field theory.

It has extensive functionality for tensor polynomial simplification taking care of Bianchi and Schouten identities, for fermions and anti-commuting variables, Clifford algebras and Fierz transformations, implicit coordinate dependence, multiple index types and many other field theory related concepts. The input format is a subset of TeX and so easy to learn.

Both a command-line and a graphical interface are available.

The software is released under an open source license.

Features include:

  • Designed for field-theory problems, with handling of anti-commuting and non-commuting objects without special notations for their products, gamma matrix algebra, Fierz identities, Dirac conjugation, vielbeine, flat and curved, covariant and contravariant indices, implicit dependence of tensors on coordinates, partial and covariant derivatives…
  • Powerful tensor simplification algorithms, not just for mono-term symmetries but also for multi-terms symmetries like the Bianchi identity, or dimensionally-dependent symmetries like the Schouten identity.
  • Allows for both abstract and component computations.
  • A standalone graphical notebook interface which can also be used as a front-end for SymPy.
  • Input and output using a subset of LaTeX notation.
  • Programmable using Python.
  • Cross-platform support – runs on all major platforms (Linux, MacOS, Windows, and BSD).

Support: Quick start, Q&A
Developer: Kasper Peeters
License: GNU General Public License v3.0

Cadabra is written in C++. Learn C++ with our recommended free books and free tutorials.

Return to Computer Algebra Systems

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