Department of Theoretical Physics,
National Institute of Physics and Nuclear Engineering,
Magurele, P.O.Box MG-6, 76900 Bucharest, ROMANIA
E-mail: mvisin@theory.nipne.ro, mvisin@ifin.nipne.ro

Symmetries and supersymmetries of the Dirac-type operators on curved spaces

The continuous and discrete symmetries of the Dirac-type operators constructed with Killing-Yano tensors are studied in manifolds of arbitrary dimensions. The covariantly constant Killing-Yano tensors realize certain square roots of the metric tensor. Such a Killing-Yano tensor produces simultaneously a Dirac-type operator and the generator of a one-parameter Lie group connecting this operator with the standard Dirac one. The briefly presented examples are the Euclidean Taub-NUT space and Minkowski spacetime.


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  2. I.I.Cotaescu and M.Visinescu, J. Math. Phys. 43,2978 (2002); hep-th/0107205
  3. I.I.Cotaescu and M.Visinescu, Gen. Rel. Grav.35, 389 (2003); hep-th/0202034
  4. I.I.Cotaescu and M.Visinescu, hep-th/0301108