View source for Software:Cadabra (computer program)

{{short description|Computer algebra system}}
{{Infobox software
| name = Cadabra
| logo = Cadabra2_logo.svg
| caption = Cadabra graphical notebook interface
| developer = Kasper Peeters
| latest release version = 2.4.4
| latest release date = {{release date and age|2023|11|20|df=yes}}<ref name="GitHub Releases">{{cite web |url=https://github.com/kpeeters/cadabra2/releases|title=GitHub Releases|publisher=github.com/kpeeters|access-date=28 November 2023}}</ref>
| programming language = [[C++]], [[Python (programming language)|Python]]
| operating system = [[Software:Linux|Linux]], [[Software:MacOS|macOS]], [[Software:Microsoft Windows|Microsoft Windows]]
| genre = [[Software:Computer algebra system|Computer algebra system]]
| license = [[Software:GNU General Public License|GPL]]
| website = {{URL|//cadabra.science}}
}}
'''Cadabra''' is a [[Software:Computer algebra system|computer algebra system]] designed specifically for the solution of problems encountered in [[Physics:Classical field theory|classical field theory]], [[Physics:Quantum field theory|quantum field theory]] and [[Physics:String theory|string theory]].

The first version of Cadabra was developed around 2001 for computing higher-derivative string theory correction to [[Physics:Supergravity|supergravity]].<ref>{{Cite journal|last1=Peeters|first1=Kasper|last2=Vanhove|first2=Pierre|last3=Westerberg|first3=Anders|date=2001|title=Supersymmetric higher-derivative actions in 10 and 11 dimensions, the associated superalgebras and their formulation in superspace|url=http://stacks.iop.org/0264-9381/18/i=5/a=307|journal=Classical and Quantum Gravity|language=en|volume=18|issue=5|pages=843–890|doi=10.1088/0264-9381/18/5/307|issn=0264-9381|arxiv=hep-th/0010167|bibcode=2001CQGra..18..843P|s2cid=6933319}}</ref><ref>{{Cite journal|last1=Peeters|first1=Kasper|last2=Westerberg|first2=Anders|date=2004-03-01|title=The Ramond–Ramond sector of string theory beyond leading order|journal=Classical and Quantum Gravity|volume=21|issue=6|pages=1643–1665|doi=10.1088/0264-9381/21/6/022|issn=0264-9381|arxiv=hep-th/0307298|bibcode=2004CQGra..21.1643P|s2cid=14418092}}</ref>

Released under the [[Software:GNU General Public License|GNU General Public License]], Cadabra is [[Free software|free software]].

Cadabra has extensive functionality for [[Tensor|tensor]] polynomial simplification including multi-term symmetries, fermions and [[Anticommutativity|anti-commuting]] variables, Clifford algebras and [[Fierz identity|Fierz transformations]], implicit coordinate dependence, multiple index types and many more. The input format is a subset of [[Software:TeX|TeX]]. Both a [[Command-line interface|command-line]] and a [[Graphical user interface|graphical interface]] are available.

A [[Java (programming language)|Java]] program inspired by Cadabra called Redberry was developed between 2013 and 2016. It achieved faster speeds for most index contractions with an approach based on the [[Graph isomorphism problem|graph isomorphism problem]] rather than canonicalisation.<ref>{{cite arXiv |title=Introduction to Redberry: A computer algebra system designed for tensor manipulation|first1=Dmitry|last1=Bolotin|first2=Stanislav|last2=Poslavsky|year=2015|class=cs.SC |eprint = 1302.1219}}</ref>

== See also ==
*[[Software:List of computer algebra systems|List of computer algebra systems]]

== References ==
<references />

== Further reading ==

*{{cite journal
|title= An application of computer algebra system Cadabra to scientific problems of physics
|first1= L. A. |last1= Sevastianov |first2= D. S. |last2= Kulyabov |first3= M. G. |last3= Kokotchikova
|s2cid= 119707618 |journal= Physics of Particles and Nuclei Letters |year= 2009 |volume= 6 |number= 7 |pages= 530–534
|bibcode = 2009PPNL....6..530S |doi = 10.1134/S1547477109070073 }}
*{{cite journal
|title= The research seminar on computer algebra in 2009–2010
|first1= S. A. |last1= Abramov |first2= A. A. Bogolyubskaya |last2= V. F. Edneral |first3= V. A. |last3= Rostovtsev
|journal= Programming and Computer Software |year= 2011 |volume= 37 |number= 2 |pages= 57–61
|doi= 10.1134/S0361768811020010
|s2cid= 1624674 }}
*{{cite journal
|first=Leo| last=Brewin
| title= A brief introduction to Cadabra: A tool for tensor computations in General Relativity
|journal=Comput. Phys. Commun. | volume=181 | issue=3
| year=2010 | pages=489–498
|arxiv=0903.2085
|bibcode = 2010CoPhC.181..489B |doi = 10.1016/j.cpc.2009.10.020 | s2cid=31179101
}}
*Kasper Peeters (2007), "Introducing Cadabra: A Symbolic computer algebra system for field theory problems", [https://arxiv.org/abs/hep-th/0701238 hep-th/0701238]
*Kasper Peeters (2006), [https://arxiv.org/ct?url=https%3A%2F%2Fdx.doi.org%2F10.1016%252Fj.cpc.2007.01.003&v=7889168d "A Field-theory motivated approach to symbolic computer algebra"], Comput. Phys. Commun.  '''176''' (2007) 550, <nowiki>[cs/0608005 [cs.SC</nowiki>]]

== External links ==

{{Computer algebra systems}}

{{DEFAULTSORT:Cadabra (Computer Program)}}
[[Category:Free computer algebra systems]]
[[Category:Free physics software]]
[[Category:Free software programmed in C++]]

{{Sourceattribution|Cadabra (computer program)}}