Hamiltonian reduction and supersymmetric mechanics with Dirac monopole
arXiv:hep-th/0606152 · doi:10.1103/PhysRevD.74.065022
Abstract
We apply the technique of Hamiltonian reduction for the construction of three-dimensional supersymmetric mechanics specified by the presence of a Dirac monopole. For this purpose we take the conventional supersymmetric mechanics on the four-dimensional conformally-flat spaces and perform its Hamiltonian reduction to three-dimensional system. We formulate the final system in the canonical coordinates, and present, in these terms, the explicit expressions of the Hamiltonian and supercharges. We show that, besides a magnetic monopole field, the resulting system is specified by the presence of a spin-orbit coupling term. A comparison with previous work is also carried out.
arXiv comment9 pages, LaTeX file, PACS numbers: 11.30.Pb, 03.65.-w, accepted for publication in PRD; minor changes in the Conclusion, the Bibliography and the Acknowledgement
References in corpus (33)
- Quantum Spin Hall Effect
- Universal Intrinsic Spin-Hall Effect
- Dissipationless Quantum Spin Current at Room Temperature
- Spin transverse force on spin current in an electric field
- Relation of the oscillator and Coulomb systems on spheres and pseudospheres
- Ultra-Multiplets: A New Representation of Rigid 2D, N = 8 Supersymmetry
- New variant of N=4 superconformal mechanics
- Transverse Spin-Orbit Force in the Spin Hall Effect in Ballistic Semiconductor Wires
- New Supersymmetry of the Monopole
- (Super)Oscillator on CP(N) and Constant Magnetic Field
- N=8 superconformal mechanics
- Spin Hall effect in clean two dimensional electron gases with Rashba spin-orbit coupling
- "Root" Action for N=4 Supersymmetric Mechanics Theories
- A note on N=4 supersymmetric mechanics on Kähler manifolds
- On the nature of fermion-monopole supersymmetry
- N=8 supersymmetric mechanics on special Kähler manifolds
- N=4 supersymmetric mechanics with nonlinear chiral supermultiplet
- Kähler geometry and SUSY mechanics
- Helicity supersymmetry of dyons
- Quantum Mechanics Model on Kähler conifold
- Complete Supersymmetric Quantum Mechanics of Magnetic Monopoles in N=4 SYM Theory
- N=8 Mechanics in SU(2)xSU(2) Harmonic Superspace
- Integer Spin Hall Effect in Ballistic Quantum Wires
- Nonlinear superconformal symmetry of a fermion in the field of a Dirac monopole
- Symplectic sigma models in superspace
- Two-dimensional N=8 supersymmetric mechanics in superspace
- N=4 supersymmetric Eguchi-Hanson sigma model in d=1
- N=8 Supersymmetric Quaternionic Mechanics
- Monopole supersymmetries and the Biedenharn operator
- A surprise in mechanics with nonlinear chiral supermultiplet
- Even and odd symplectic and Kählerian structures on projective superspaces
- A complete solution of a Constrained System: SUSY Monopole Quantum Mechanics
- Reduced N=2 Quantum Mechanics: Descendants of the Kahler Geometries
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