Space-time symmetries of superstring and Jordan algebras
type: Item
instance of: scholarly article
title: Space-time symmetries of superstring and Jordan algebras
zbMATH Open document ID: 0711.17017
DOI: 10.1007/BF00671588
author: R. Foot
author: G. C. Joshi
published in: International Journal of Theoretical Physics
publication date: 1989-01-01T00:00:00Z
review text: The authors consider the Jordan algebras \({\mathfrak M}^ 1_ 3\), \({\mathfrak M}^ 2_ 3\), \({\mathfrak M}^ 4_ 3\), and \({\mathfrak M}^ 8_ 3\) whose elements are the \(3\times 3\) Hermitian matrices with, respectively, real, complex, quaternionic, and octonionic elements. The covering groups of the Lorentz groups for, respectively, dimensions 3, 4, 6, and 10 can be expressed as subgroups of the reduced structure groups of these algebras, which are suitable generalizations of the automorphism groups. The authors point out a connection between the structure groups or the automorphism groups of the mentioned Jordan algebras and the symmetries of superstrings.
Mathematics Subject Classification ID: 17C30
Mathematics Subject Classification ID: 81Q60
Mathematics Subject Classification ID: 81T60
Mathematics Subject Classification ID: 17C90
zbMATH DE Number: 4168911
zbMATH Keywords: space-time symmetry
zbMATH Keywords: Lorentz groups
zbMATH Keywords: structure groups
zbMATH Keywords: automorphism groups
zbMATH Keywords: superstrings
MaRDI profile type: Publication
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full work available at URL: https://doi.org/10.1007/bf00671588
OpenAlex ID: W1972651786
description: scientific article; zbMATH DE number 4168911