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Separation of variables and quantum numbers for Weyl neutrino fields on curved space-time

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Abstract

We construct, via separation of variables, a first-order differential operator whose commutator with the Weyl neutrino operator is proportional to it in the class \(\mathfrak{D}\) of Petrov type D vacuum and electrovac backgrounds with cosmological constant. Further, we characterize tensorially all such operators on an arbitrary background space-time. These results when combined explain the existence of a two-index Killing spinor in the class \(\mathfrak{D}\).

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Authors and Affiliations

  1. Department of Applied Mathematics, University of Waterloo, Waterloo, Ontario, Canada

    N. Kamran & R. G. McLenaghan

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  1. N. Kamran
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  2. R. G. McLenaghan
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Kamran, N., McLenaghan, R.G. Separation of variables and quantum numbers for Weyl neutrino fields on curved space-time. Lett Math Phys 7, 381–386 (1983). https://doi.org/10.1007/BF00398759

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  • DOI: https://doi.org/10.1007/BF00398759

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