The inverse Penrose transform of a solution to the Maxwell-Dirac-Weyl field equations
type: Item
instance of: scholarly article
title: The inverse Penrose transform of a solution to the Maxwell-Dirac-Weyl field equations
zbMATH Open document ID: 0552.53046
DOI: 10.1016/0022-1236(85)90056-4
author: Robert Pool
author: M. Eastwood
author: Raymond O. jun. Wells
published in: Journal of Functional Analysis
publication date: 1985-01-01T00:00:00Z
review text: The authors present an explicit family of solutions to the nonlinear coupled Maxwell-Dirac-Weyl equations on a Minkowskian space-time. It is shown using results of \textit{G. M. Henkin} and \textit{Yu. Manin} [Phys. Lett. B 95, 405-408 (1980)] that these solutions are equivalent by use of the Penrose transform to a coupled system of cohomology classes and a complex line bundle on the space of null lines in Minkowski space. The inverse Penrose transform is computed and this yields explicit expressions for the line bundle, the obstruction to extension and the two cohomology classes.
Mathematics Subject Classification ID: 53C80
Mathematics Subject Classification ID: 53B50
Mathematics Subject Classification ID: 81T20
Mathematics Subject Classification ID: 81T99
zbMATH DE Number: 3879683
zbMATH Keywords: twistor theory
zbMATH Keywords: Maxwell-Dirac-Weyl equations
zbMATH Keywords: Minkowskian space-time
zbMATH Keywords: null lines
zbMATH Keywords: Penrose transform
reviewed by: Joseph D. Zund
MaRDI profile type: Publication
full work available at URL: 0022-1236(85)90056-4
OpenAlex ID: W2084545621
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description: scientific article; zbMATH DE number 3879683