Bosonized supersymmetry of anyons and supersymmetric exotic particle on the non-commutative plane

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dc.creatorHorvathy, Peter A.
dc.creatorPlyushchay, Mikhail S.
dc.creatorValenzuela, Mauricio
dc.date2006-10-30
dc.date2007-01-26
dc.date.accessioned2026-07-07T11:28:09Z
dc.date.available2026-07-07T11:28:09Z
dc.descriptionA covariant set of linear differential field equations, describing an N=1 supersymmetric anyon system in (2+1)D, is proposed in terms of Wigner's deformation of the bosonic Heisenberg algebra. The non-relativistic ``Jackiw-Nair'' limit extracts the ordinary bosonic and fermionic degrees of freedom from the Heisenberg-Wigner algebra. It yields first-order, non-relativistic wave equations for a spinning particle on the non-commutative plane that admits a Galilean exotic planar N=1 supersymmetry.
dc.description18 pages; new section on noncommutative coordinates and refs added, the version to appear in Nucl. Phys. B
dc.identifierhttps://arxiv.org/abs/hep-th/0610317
dc.identifierhttp://arxiv.org/abs/hep-th/0610317
dc.identifierNucl.Phys.B768:247-262,2007
dc.identifierdoi:10.1016/j.nuclphysb.2007.01.021
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/196350
dc.subjectHigh Energy Physics - Theory
dc.subjectMathematical Physics
dc.subjectQuantum Physics
dc.titleBosonized supersymmetry of anyons and supersymmetric exotic particle on the non-commutative plane
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