Hierarchy of Dirac, Pauli and Klein-Gordon conserved operators in Taub-NUT background

Abstract

The algebra of conserved observables of the SO(4,1) gauge-invariant theory of the Dirac fermions in the external field of the Kaluza-Klein monopole is investigated. It is shown that the Dirac conserved operators have physical parts associated with Pauli operators that are also conserved in the sense of the Klein-Gordon theory. In this way one gets simpler methods of analyzing the properties of the conserved Dirac operators and their main algebraic structures including the representations of dynamical algebras governing the Dirac quantum modes.

16 pages, latex, no figures

References in corpus (4)

• Helicity supersymmetry of dyons
• The Dirac equation in Taub-NUT space
• Runge-Lenz operator for Dirac field in Taub-NUT background
• Dynamical algebra and Dirac quantum modes in Taub-NUT background

Cited by in corpus (5)

• Killing-Yano tensors and some applications
• Symmetries of the Dirac operators associated with covariantly constant Killing-Yano tensors
• Infinite loop superalgebras of the Dirac theory on the Euclidean Taub-NUT space
• Supersymmetry and discrete transformations of the Dirac operators in Taub-NUT geometry
• f-symbols in Robertson-Walker space-times