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These are introductory notes on the study of the Dirac equation in curved spacetime and its relation to hidden symmetries of the dynamics.
Benenti, S. and Francaviglia, M., “Remarks on certain separability structures and their applications to general relativity”, Gen. Rel. and Grav
1979
Earlier work this paper cites.
Carter, B. and Mclenaghan, R. G., “Generalized Total Angular Momentum Operator For The Dirac Equation In Curved Space-time”, Phys.Rev
1979
Earlier work this paper cites.
Mclenaghan, R. G. and Spindel, P., “Quantum Numbers For Dirac Spinor Fields On A Curved Space-time”, Phys.Rev
1979
Earlier work this paper cites.
Demianski, M. and Francaviglia, M., “Separability structures and Killing-Yano tensors in vacuum type-D space-times without acceleration”, Int. J. Theor. Phys
1980
Earlier work this paper cites.
Kalnins, E. G. and Miller, W., “Killing Tensors and Nonorthogonal Variable Separation for Hamilton Jacobi Equations”, SIAM J. Math. Anal
1981
Earlier work this paper cites.
Kamran, N. and Mclenaghan, R. G., “Symmetry Operators For Neutrino And Dirac Fields On Curved Space-time”, Phys.Rev
1984
Earlier work this paper cites.
Benenti, S., “Intrinsic characterization of the variable separation in the Hamilton Jacobi equation”, J. Math. Phys
1997
Earlier work this paper cites.
Benn, I. M. and Charlton, P., “Dirac symmetry operators from conformal Killing-Yano tensors”, Class.Quant.Grav
1997
Earlier work this paper cites.
Fatibene, L., Ferraris, M., Francaviglia, M. and McLenaghan, R.G., “Generalized symmetries in mechanics and field theories”, J. Math. Phys
2002
Cited alongside, same era.
Benn, I. M. and Kress, J. M., “First-order Dirac symmetry operators”, Class. Quant. Grav
2004
Cited alongside, same era.
Chen, W., Lü, H. and Pope, C. N., “General Kerr NUT AdS metrics in all dimensions”, Class.Quant.Grav
2006
Cited alongside, same era.
2007
Cited alongside, same era.
Krtouš, P., Kubizňák, D., Page, D. N. and Frolov, V. P., “Killing-Yano tensors, rank-2 Killing tensors, and conserved quantities in higher dimensions”, JHEP
2007
Cited alongside, same era.
2008
Later among the works it cites.
2010
Later among the works it cites.
2011
Later among the works it cites.
2011
Later among the works it cites.
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Kubizňák, D. and Frolov, V. P., “The hidden symmetry of higher dimensional Kerr NUT AdS spacetimes”, Class.Quant.Grav
2007
Cited alongside, same era.
2008
Cited alongside, same era.
2011
Later among the works it cites.
Kubizňák, D., Warnick, C. and Krtouš, P., “Hidden symmetry in the presence of fluxes”, Nucl.Phys
2011
Later among the works it cites.