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Anyon spin and the exotic central extension of the planar Galilei group

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arxiv hep-th/0003130 v2 pith:PIOX7OII submitted 2000-03-15 hep-th

classification hep-th
keywords centralextensiongalileigroupspinanyoncorrespondsdimensions
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We show that the second central extension of the Galilei group in (2+1) dimensions corresponds to spin, which can be any real number.

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Cited by 3 Pith papers

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

  1. Spin-Induced Non-Markovian Time-Crystal-Like Dynamics and Fractal Scaling in the Bateman Dual Oscillator

    quant-ph 2026-05 unverdicted novelty 5.5 of 10

    Spin-induced deformation in the Bateman dual oscillator framework yields non-Markovian reduced dynamics with persistent oscillations and fractal scaling that mimic time crystals in a globally unitary quantum system.

  2. Affine Extension of the Free-Particle--Oscillator--Inverted-Oscillator Triangle

    math-ph 2026-07 conditional novelty 5.0 of 10

    The linear-potential (Airy) system is an affine–Heisenberg extension of the free-particle–oscillator–inverted-oscillator conformal triangle, with Airy states obtained from accelerated-frame, oscillator-condensation, a...

  3. Spin-Induced Fractal Time-Crystal-Like Dynamics and Non-Markovian Memory in the Bateman Dual Oscillator

    hep-th 2026-06 unverdicted novelty 5.0 of 10

    Spin-induced noncommutativity in the Bateman oscillator yields discrete scaling covariance in amplified and damped modes, producing self-similar evolution and history-dependent non-Markovian reduced dynamics.

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