Natural origin of \(SO_ 3\)-spinors in an eight-dimensional Kaluza theory exhibiting an additional \(U_ 1\times SU_ 2\) internal symmetry
type: Item
instance of: scholarly article
title: Natural origin of \(SO_ 3\)-spinors in an eight-dimensional Kaluza theory exhibiting an additional \(U_ 1\times SU_ 2\) internal symmetry
zbMATH Open document ID: 0605.53038
DOI: 10.1007/BF00761724
author: Dieter W. Ebner
published in: General Relativity and Gravitation
publication date: 1987-01-01T00:00:00Z
review text: The higher-dimensional space \(M_ 4\times S_ 1\times S_ 3\) \((M_ 4=Minkowski\) space) is taken. The symmetry group of \(S_ 3\) is \(SO_ 4\sim SU_ 2\times SU_ 2\). ''Gravitational waves'' produce a symmetry breaking so that \(SO_ 3\) rotations in \(M_ 4\) are linked with one of the \(SU_ 2\). Certain components of the metric tensor of \(M_ 4\times S_ 1\times S_ 3\) appear then as spinor fields.
Mathematics Subject Classification ID: 53B50
Mathematics Subject Classification ID: 83E15
Mathematics Subject Classification ID: 81R40
zbMATH DE Number: 3977876
zbMATH Keywords: symmetry group
zbMATH Keywords: symmetry breaking
zbMATH Keywords: spinor fields
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 3977876