Infinite loop superalgebras of the Dirac theory on the Euclidean Taub-NUT space
arXiv:0705.0866 · doi:10.1088/1751-8113/40/39/018
Abstract
The Dirac theory in the Euclidean Taub-NUT space gives rise to a large collection of conserved operators associated to genuine or hidden symmetries. They are involved in interesting algebraic structures as dynamical algebras or even infinite-dimensional algebras or superalgebras. One presents here the infinite-dimensional superalgebra specific to the Dirac theory in manifolds carrying the Gross-Perry-Sorkin monopole. It is shown that there exists an infinite-dimensional superalgebra that can be seen as a twisted loop superalgebra.
arXiv comment16 pages, LaTeX, references added
References in corpus (14)
- Supersymmetric Rotating Black Holes and Causality Violation
- Supersymmetry and the Geometry of Taub-NUT
- Quantum Mechanics of Yano tensors: Dirac equation in curved spacetime
- New Supersymmetry of the Monopole
- External symmetry in general relativity
- Spinning particles in Taub-NUT space
- Helicity supersymmetry of dyons
- Supersymmetries and constants of motion in Taub-NUT spinning space
- Schrödinger quantum modes on the Taub-NUT background
- Runge-Lenz operator for Dirac field in Taub-NUT background
- Dynamical algebra and Dirac quantum modes in Taub-NUT background
- The Dirac field in Taub-NUT background
- Hierarchy of Dirac, Pauli and Klein-Gordon conserved operators in Taub-NUT background
- An "Accidental" Symmetry Operator for the Dirac Equation in the Coulomb Potential