(2+1)D Exotic Newton-Hooke Symmetry, Duality and Projective Phase

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dc.creatorAlvarez, Pedro D.
dc.creatorGomis, Joaquim
dc.creatorKamimura, Kiyoshi
dc.creatorPlyushchay, Mikhail S.
dc.date2007-02-01
dc.date2007-06-17
dc.date.accessioned2026-07-07T13:06:58Z
dc.date.available2026-07-07T13:06:58Z
dc.descriptionA particle system with a (2+1)D exotic Newton-Hooke symmetry is constructed by the method of nonlinear realization. It has three essentially different phases depending on the values of the two central charges. The subcritical and supercritical phases (describing 2D isotropic ordinary and exotic oscillators) are separated by the critical phase (one-mode oscillator), and are related by a duality transformation. In the flat limit, the system transforms into a free Galilean exotic particle on the noncommutative plane. The wave equations carrying projective representations of the exotic Newton-Hooke symmetry are constructed.
dc.description30 pages, 2 figures; typos corrected
dc.identifierhttps://arxiv.org/abs/hep-th/0702014
dc.identifierhttp://arxiv.org/abs/hep-th/0702014
dc.identifierAnnals Phys.322:1556-1586,2007
dc.identifierdoi:10.1016/j.aop.2007.03.002
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/227947
dc.subjectHigh Energy Physics - Theory
dc.title(2+1)D Exotic Newton-Hooke Symmetry, Duality and Projective Phase
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