Dynamical algebra and Dirac quantum modes in Taub-NUT background

Abstract

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 discrete quantum modes are governed by reducible representations of the o(4) dynamical algebra generated by the components of the angular momentum operator and those of the Runge-Lenz operator of the Dirac theory in Taub-NUT background. The consequence is that there exist central and axial discrete modes whose spinors have no separated variables.

17 pages, latex, no figures. Version to appear in Class.Quantum Grav

References in corpus (3)

• Helicity supersymmetry of dyons
• The Dirac equation in Taub-NUT space
• Runge-Lenz operator for Dirac field in Taub-NUT background

Cited by in corpus (10)

• Killing-Yano tensors and some applications
• Symmetries of the Dirac operators associated with covariantly constant Killing-Yano tensors
• Gravitational and axial anomalies for generalized Euclidean Taub-NUT metrics
• Hierarchy of Dirac, Pauli and Klein-Gordon conserved operators in Taub-NUT background
• Singular General Relativity
• Infinite loop superalgebras of the Dirac theory on the Euclidean Taub-NUT space
• Schouten-Nijenhuis bracket of Killing-Yano tensors for Kimura IIC metric
• The induced representation of the isometry group of the Euclidean Taub-NUT space and new spherical harmonics
• Supersymmetry and discrete transformations of the Dirac operators in Taub-NUT geometry
• f-symbols in Robertson-Walker space-times