ar X iv : h ep - t h / 01 07 20 5 v 1 2 4 Ju l 2 00 1 Hierarchy of Dirac , Pauli and Klein - Gordon conserved operators in Taub - NUT background
نویسنده
چکیده
The algebra of conserved observables of the SO(4, 1) gauge-invariant theory of the Dirac fermions in the external field of the KaluzaKlein 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. Pacs 04.62.+v E-mail: [email protected] E-mail: [email protected]
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متن کاملar X iv : h ep - t h / 05 11 19 0 v 1 1 8 N ov 2 00 5 The Dirac equation in Taub - NUT space
Using chiral supersymmetry, we show that the massless Dirac equation in the Taub-NUT gravita-tional instanton field is exactly soluble and explain the arisal and the use of the dynamical (super) symmetry. 1. Introduction The Dirac equation D ψ = 0 in the Kaluza-Klein (KK) monopole field — obtained by imbedding the Taub-NUT solution into five-dimensional gravity with trivial time dependence [1] ...
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