Irreducible decomposition of products of 10D chiral sigma matrices

S.James Gates; B Radak; V.G.J Rodgers

doi:10.1016/S0010-4655(00)00251-4

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Irreducible decomposition of products of 10D chiral sigma matrices

Journal article

Open access

Peer reviewed

Irreducible decomposition of products of 10D chiral sigma matrices

S.James Gates, B Radak and V.G.J Rodgers

Computer physics communications, Vol.136(1), pp.173-181

2001

DOI: 10.1016/S0010-4655(00)00251-4

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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 irreducible 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.

10 dimensions

Mathematica

Sigma matrices

Supersymmetry

Details

Title: Subtitle: Irreducible decomposition of products of 10D chiral sigma matrices
Creators: S.James Gates - University of Maryland, College Park
B Radak - University of Maryland, College Park
V.G.J Rodgers - University of Iowa
Resource Type: Journal article
Publication Details: Computer physics communications, Vol.136(1), pp.173-181
DOI: 10.1016/S0010-4655(00)00251-4
ISSN: 0010-4655
eISSN: 1879-2944
Publisher: Elsevier B.V
Language: English
Date published: 2001
Academic Unit: Physics and Astronomy
Record Identifier: 9984199661602771

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