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arXiv · hep-th/0606152

Hamiltonian reduction and supersymmetric mechanics with Dirac monopole

Stefano Bellucci·Armen Nersessian·Armen Yeranyan
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Abstract

We apply the technique of Hamiltonian reduction for the construction of three-dimensional ${\cal N}=4$ supersymmetric mechanics specified by the presence of a Dirac monopole. For this purpose we take the conventional ${\cal N}=4$ 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.

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Stefano Bellucci, Armen Nersessian, Armen Yeranyan. 2006-09-14. Hamiltonian reduction and supersymmetric mechanics with Dirac monopole. https://doi.org/10.1103/physrevd.74.065022

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