Dirac symmetry operators from conformal Killing-Yano tensors. (English) Zbl 0879.58079
Summary: We show how, for all dimensions and signatures, a symmetry operator for the massless Dirac equation can be constructed from a conformal Killing-Yano tensor of arbitrary degree.
MSC:
| 58J60 | Relations of PDEs with special manifold structures (Riemannian, Finsler, etc.) |
| 58J70 | Invariance and symmetry properties for PDEs on manifolds |
| 81T40 | Two-dimensional field theories, conformal field theories, etc. in quantum mechanics |
| 81Q05 | Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics |
