Remarks on pure spinors
type: Item
instance of: scholarly article
title: Remarks on pure spinors
zbMATH Open document ID: 0602.15021
DOI: 10.1007/BF00574157
author: Andrzej Trautman
author: P. Budinich
published in: Letters in Mathematical Physics
publication date: 1986-01-01T00:00:00Z
review text: The authors work on Clifford algebras and spinor structures in higher dimensions corresponding to recent researches on fundamental interactions and their unification in physics. In this note, they briefly (i) describe the relation between spinor connections on low-dimensional spheres and simple gauge configurations, (ii) outline an approach to the notion of pure spinors in spaces of nonneutral signature and, in particular, in conformal extensions of spacetime, (iii) indicate some topological nontrivial configurations associated with pure spinors, and (iv) show how the 'purity constraint' may lead to 'mass term' in the Weyl equation for pure spinors in a space of signature (3,4).
Mathematics Subject Classification ID: 15A66
Mathematics Subject Classification ID: 53C27
zbMATH DE Number: 3970955
zbMATH Keywords: Clifford algebras
zbMATH Keywords: spinor structures
zbMATH Keywords: higher dimensions
zbMATH Keywords: low-dimensional spheres
zbMATH Keywords: simple gauge configurations
zbMATH Keywords: pure spinors in spaces of nonneutral signature
zbMATH Keywords: Weyl equation
MaRDI profile type: Publication
cites work: Spinors in n Dimensions
cites work: An Approach to Gravitational Radiation by a Method of Spin Coefficients
cites work: A new proof of the positive energy theorem.
cites work: Spinor structures on spheres and projective spaces
cites work: Characteristic forms and geometric invariants
cites work: Solutions to Yang-Mills field equations in eight dimensions and the last Hopf map
cites work: Algebraic invariants and the projective geometry of spinors
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description: scientific article; zbMATH DE number 3970955