Irreducible decomposition of products of 10D chiral sigma matrices

DOI10.1016/S0010-4655(00)00251-4zbMATH Open0983.65060arXivhep-th/0004202MaRDI QIDQ5938244

V. G. J. Rodgers, Branislav Radak, S. J. jun. Gates

Publication date: 7 April 2002

Published in: Computer Physics Communications (Search for Journal in Brave)

Abstract: We review the enveloping algebra of the 10 dimensional chiral sigma matrices. To facilitate the computation of the product of several chiral sigma matrices we have developed a symbolic program. Using this program one can reduce the multiplication of the sigma matrices down to linear combinations of irreducilbe elements. We are able to quickly derive several identities that are not restricted to traces. A copy of the program written in the Mathematica language is provided for the community.

Full work available at URL: https://arxiv.org/abs/hep-th/0004202

zbMATH Keywords

irreducible decomposition Mathematica chiral sigma matrices symbolic program

Mathematics Subject Classification ID

Symbolic computation and algebraic computation (68W30)

Uses Software

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