Symmetry operators for Dirac's equation on two-dimensional spin manifolds

@article{Fatibene2009SymmetryOF,
  title={Symmetry operators for Dirac's equation on two-dimensional spin manifolds},
  author={Lorenzo Fatibene and Raymond G. McLenaghan and Giovanni Rastelli and Shane N. Smith},
  journal={Journal of Mathematical Physics},
  year={2009},
  volume={50},
  pages={053516-053516}
}
It is shown that the second order symmetry operators for the Dirac equation on a general two-dimensional spin manifold may be expressed in terms of Killing vectors and valence 2 Killing tensors. The role of these operators in the theory of separation of variables for the Dirac equation is studied. 

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