First-order Dirac symmetry operators

doi:10.1088/0264-9381/21/2/007

First-order Dirac symmetry operators

I M Benn et al 2004 Class. Quantum Grav. 21 427-431 doi: 10.1088/0264-9381/21/2/007

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I M Benn¹ and J M Kress²
¹ School of Mathematical and Physical Sciences, Newcastle University, NSW 2308, Australia
² School of Mathematics, The University of New South Wales, Sydney 2058, Australia
E-mail: Ian.Benn@newcastle.edu.au and J.Kress@unsw.edu.au

Abstract. We show how, for all dimensions and signatures, the most general first-order linear symmetry operator for the massive Dirac equation is given in terms of Killing–Yano tensors. In the massless case the Killing–Yano condition is relaxed to the conformal Killing–Yano generalization.

PACS numbers: 03.65.Pm, 11.25.Hf

Print publication: Issue 2 (21 January 2004)
Received 3 July 2003
Published 5 December 2003

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First-order Dirac symmetry operators

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