(2 + 1)D exotic Newton-Hooke symmetry, duality and projective phase

Pedro D. Alvarez, Joaquim Gomis, Kiyoshi Kamimura, Mikhail S. Plyushchay*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

71 Scopus citations

Abstract

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.

Original languageEnglish
Pages (from-to)1556-1586
Number of pages31
JournalAnnals of Physics
Volume322
Issue number7 SPEC. ISS.
DOIs
StatePublished - 2007
Externally publishedYes

ASJC Scopus subject areas

  • General Physics and Astronomy

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