The natural spinor connection on \(S_ 8\) is a gauge field
type: Item
instance of: scholarly article
title: The natural spinor connection on \(S_ 8\) is a gauge field
zbMATH Open document ID: 0591.53072
DOI: 10.1007/BF00398429
published in: Letters in Mathematical Physics
publication date: 1986-01-01T00:00:00Z
review text: The author shows that the natural spinor connection on the oriented 8- sphere gives the non-trivial topological solution of the source-free Yang-Mills equations of \textit{B. Grossman}, \textit{T. K. Kephart} and \textit{J. D. Stasheff} [Commun. Math. Phys. 96, 431-437 (1984; Zbl 0575.58034), Erratum 100, 311 (1985)]. The Euler number is explicitly calculated.
Mathematics Subject Classification ID: 53C80
Mathematics Subject Classification ID: 81T08
Mathematics Subject Classification ID: 57R15
zbMATH DE Number: 3949262
zbMATH Keywords: spinor connection
zbMATH Keywords: 8-sphere
zbMATH Keywords: Yang-Mills equations
zbMATH Keywords: Euler number
author: Giovanni Landi
reviewed by: Joseph D. Zund
MaRDI profile type: Publication
cites work: Solutions to Yang-Mills field equations in eight dimensions and the last Hopf map
cites work: Quantised singularities in the electromagnetic field,
cites work: Self-duality in four-dimensional Riemannian geometry
full work available at URL: https://doi.org/10.1007/bf00398429
OpenAlex ID: W2060711111
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description: scientific article; zbMATH DE number 3949262