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

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

Sep 1983

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1983lmaph...7..381k&link_type=abstract

Letters in Mathematical Physics, Volume 7, Issue 5, pp.381-386

Mathematics

Mathematical Physics

16

Scientific paper

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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