Hamiltonian reduction and supersymmetric mechanics with Dirac monopole

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dc.creatorBellucci, Stefano
dc.creatorNersessian, Armen
dc.creatorYeranyan, Armen
dc.date2006-06-16
dc.date2006-09-14
dc.date.accessioned2026-07-07T11:06:41Z
dc.date.available2026-07-07T11:06:41Z
dc.descriptionWe 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.
dc.description9 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
dc.identifierhttps://arxiv.org/abs/hep-th/0606152
dc.identifierhttp://arxiv.org/abs/hep-th/0606152
dc.identifierPhys.Rev.D74:065022,2006
dc.identifierdoi:10.1103/PhysRevD.74.065022
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/189599
dc.subjectHigh Energy Physics - Theory
dc.titleHamiltonian reduction and supersymmetric mechanics with Dirac monopole
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