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

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arxiv hep-th/0702014 v2 pith:WYEXL5ZD submitted 2007-02-01 hep-th

Pedro D. Alvarez , Joaquim Gomis , Kiyoshi Kamimura , Mikhail S. Plyushchay This is my paper · ORCID
classification hep-th
keywords exoticnewton-hookesymmetryconstructeddualityparticlephasephases
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A 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.

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Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Non-Lorentzian Supergravity and Kinematical Superalgebras

    hep-th 2024-12 conditional novelty 7.0 of 10

    Supersymmetric extensions of extended kinematical algebras are classified via semigroup expansion, and non-degenerate Chern-Simons supergravity actions are constructed in three dimensions.

  2. Peierls substitution and Hall motion in exotic Carroll dynamics

    hep-th 2024-11 accept novelty 5.0 of 10

    Exotic Carroll particles with two-parameter central extension move by an anomalous Hall law, and their critical reduction reproduces the Dunne-Jackiw-Trugenberger model underlying the Peierls substitution.

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