The differential approach to spinors and their symmetries

Benn, Ian and Tucker, Robin (1985) The differential approach to spinors and their symmetries. Il Nuovo Cimento A, 88 (3). pp. 273-285. ISSN 0369-3546

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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.

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Journal Article
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Il Nuovo Cimento A
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03 Aug 2015 15:26
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20 Sep 2023 00:44