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The differential approach to spinors and their symmetries

Research output: Contribution to journalJournal articlepeer-review

Published
<mark>Journal publication date</mark>1/08/1985
<mark>Journal</mark>Il Nuovo Cimento A
Issue number3
Volume88
Number of pages13
Pages (from-to)273-285
Publication StatusPublished
<mark>Original language</mark>English

Abstract

A formulation of spinor analysis in space-time is given in terms of smooth sections of a real Clifford bundle. Its relation to the two-component complex calculus for spinor components is elucidated. Treating spinors in terms of inhomogeneous differential forms carryingPIN 3,1 andSPIN 3,1 representations enables the discrete covariances of the Maxwell-Dirac system to be induced naturally from smooth isometries of the space-time metric. Attention is drawn to the distinction between the Dirac and Kähler equations in curved space when expressed in this geometric formulation.