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The classical basis for $\kappa$-deformed Poincar\'e (super)algebra and the second $\kappa$-deformed supersymmetric Casimir

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arxiv hep-th/9412114 v1 pith:PAEMFKYS submitted 1994-12-13 hep-th

P. Kosiński , J. Lukierski , P. Maślanka , J. Sobczyk This is my paper · ORCID
classification hep-th
keywords poinclassicalgeneratorskdefalgebrasuperalgebrabasiscasimir
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abstract

We present here the general solution describing generators of \kdef \poin algebra as the functions of classical \poin algebra generators as well as the inverse formulae. Further we present analogous relations for the generators of N=1 D=4 \kdef \poin superalgebra expressed by the classical \poin superalgebra generators. In such a way we obtain the \kdef \poin (super)algebras with all the quantum deformation present only in the coalgebra sector. Using the classical basis of \kdef \poin superalgebra we obtain as a new result the $\k$-deformation of supersymmetric covariant spin square Casimir.

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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. Complex scalar field in \kappa-Minkowski noncommutative spacetime

    hep-th 2025-05 conditional novelty 6.0 of 10

    The canonical Noether charges for the κ-deformed complex scalar match the covariant phase space results, and the earlier C-breaking is traced to using the twisted-cyclic Lagrangian L_C1 instead of the manifestly symme...

  2. Kinematical correlations via $\kappa$-Poincar\'e coproducts

    hep-th 2026-06 unverdicted novelty 5.0 of 10

    In the classical basis the non-bijective momentum map induces branch-dependent κ-deformed back-to-back correlations for two-particle states obeying vanishing total momentum.

  3. \kappa-deformed spin-1/2 field

    hep-th 2025-07 conditional novelty 5.0 of 10

    A kappa-deformed Dirac action is constructed whose Noether charges close the standard Poincaré algebra, while charge conjugation symmetry is broken and CPT can only be restored by deforming time reversal.

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