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

Physics – Mathematical Physics

Scientific paper

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Scientific paper

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 two Killing tensors. The role of these operators in the
theory of separation of variables for the Dirac equation is studied.

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