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

J. Lukierski; J. Sobczyk; P. Kosi\'nski; P. Ma\'slanka

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

Not yet reviewed by Pith; the record is open.

Re-run · record.json Download PDF Read on arXiv ↗

This paper has not been read by Pith yet. Machine review is queued; the pith claim, tier, and objections will appear here once it completes.

SPECIMEN: schema-true, not a live event

T0 review · schema-true

One-sentence machine reading of the paper's core claim.

pith:XXXXXXXX · record.json · timestamp

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

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

P. Kosi\'nski , J. Lukierski , P. Ma\'slanka , J. Sobczyk This is my paper

classification hep-th

keywords poinclassicalgeneratorskdefalgebrasuperalgebrabasiscasimir

verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved

0 comments

read the original 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.

discussion (0)

Forward citations

Cited by 1 Pith paper

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

Kinematical correlations via $\kappa$-Poincar\'e coproducts
hep-th 2026-06 unverdicted novelty 5.0

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.