Hamiltonian reduction and supersymmetric mechanics with Dirac monopole
Jun, 2006
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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.- 11.30.Pb
- 03.65.-w
- mechanics: classical
- Hamiltonian formalism
- supersymmetry
- magnetic monopole
- space-time
- transformation: conformal
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