QUANTUM DEFORMATION OF THE POINCARE SUPERGROUP AND KAPPA-DEFORMED SUPERSPACE

The classical r-matrix for the N = 1 super-Poincare algebra, given by Lukierski et al, is used to describe the graded Poisson structure on t he N = 1 Poincare supergroup. The standard correspondence principle be tween the even (odd) Poisson brackets and (anti)commutators lends to t he consistent quantum deformation of the super-Poincare group with the deformation parameter q described by the fundamental mass parameter k appa (kappa(-1) = ln q). The kappa-deformation of N = 1 superspace as dual to the kappa-deformed supersymmetry algebra is discussed.