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Quantum $\kappa$-Poincare in Any Dimensions

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arxiv hep-th/9310117 v1 pith:QZMX4CCJ submitted 1993-10-19 hep-th

classification hep-th
keywords kappapoincarquantumalgebrabracketscalculatedclassicald-dimensional
verification ladder T0 review T1 audit T2 compute T3 formal

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abstract

The $\kappa$-deformation of the D-dimensional Poincar\'e algebra $(D\geq 2)$ with any signature is given. Further the quadratic Poisson brackets, determined by the classical $r$-matrix are calculated, and the quantum Poincar\'e group "with noncommuting parameters" is obtained.

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Forward citations

Cited by 4 Pith papers

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

  1. Bicovariant Codifferential Calculi

    math.QA 2026-02 unverdicted novelty 6.0 of 10

    Bicovariant codifferential calculi on Hopf algebras reduce to classifying Yetter-Drinfeld submodules, providing a dual to existing differential calculi constructions.

  2. Fermi Acceleration Mechanisms Beyond Lorentz Symmetry

    gr-qc 2026-01 conditional novelty 6.0 of 10

    Fermi-accelerated cosmic-ray spectra acquire energy-dependent spectral indices under κ-Poincaré-deformed or Lorentz-violating kinematics, with a -2 to -3 index transition in the classical basis.

  3. Noncommutativity and the Weak Cosmic Censorship

    hep-th 2019-08 reject novelty 5.0 of 10

    Using a noncommutative duality, the authors claim that a high-energy scalar probe dresses a naked AdS3 singularity as a BTZ black hole, supporting weak cosmic censorship.

  4. Testing the universality of quantum gravity theories with cosmic messengers in the context of DSR theories

    gr-qc 2025-01

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