Quantum deformation of the Poincare supergroup and kappa -deformed superspace
- 21 October 1994
- journal article
- Published by IOP Publishing in Journal of Physics A: General Physics
- Vol. 27 (20) , 6827-6837
- https://doi.org/10.1088/0305-4470/27/20/019
Abstract
The classical r-matrix for the N=1 super-Poincare algebra, given by Lukierski et al. (1993), is used to describe the graded Poisson structure on the N=1 Poincare supergroup. The standard correspondence principle between the even (odd) Poisson brackets and (anti)commutators leads to the consistent quantum deformation of the super-Poincare group with the deformation parameter q described by the fundamental mass parameter K (K-1=In q). The K-deformation of N=1 superspace as dual to the K-deformed supersymmetry algebra is discussed.Keywords
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