Clifford algebra and the propagation of Kähler spinors
type: Item
instance of: scholarly article
title: Clifford algebra and the propagation of Kähler spinors
zbMATH Open document ID: 0823.53016
DOI: 10.1007/BF00671597
author: Wathek Talebaoui
published in: International Journal of Theoretical Physics
publication date: 1995-06-13T00:00:00Z
review text: The author presents a detailed analysis of the spinor version of the Kähler equation. The tensor version of this equation was introduced by \textit{E. Kähler} [Rend. Mat. Appl., V. Ser. 21, 425-523 (1963; Zbl 0127.314)], and involves an inhomogeneous differential form which is naturally associated with a Clifford algebra. It may be of importance in the theory of fermion fields in a quantum gravity context. A class of solutions of Kähler spinors is constructed which -- in a perturbation-theoretic approach -- decouple the Kähler equation. It is shown how the propagation of \(\beta\)-Kähler spinors is influenced by an interaction term in a space-time of constant curvature. Contents include: an introduction, Riemannian normal coordinates, the Kähler equation, and \(\beta\)-spinors in Riemannian normal coordinates.
Mathematics Subject Classification ID: 53C27
Mathematics Subject Classification ID: 53Z05
zbMATH DE Number: 763185
zbMATH Keywords: Kähler equation
zbMATH Keywords: Clifford algebra
zbMATH Keywords: Kähler spinors
zbMATH Keywords: space-time of constant curvature
reviewed by: Joseph D. Zund
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 763185