Quantum D=4 Poincare superalgebra

Abstract

The kappa -deformation of D=4 Poincare algebra is extended to the N=1 D=4 Poincare superalgebra. By the contraction of real Hopf superalgebra Uq(OSp(1 mod 4)) (q real) we obtain real Hopf algebra Ukappa (P4;1)(P4;1) is written in the form which in the limit of vanishing fermionic generators (supercharges) reduces to the kappa -Poincare algebra Ukappa (P4)(P4 describes D=4Poincare algebra) proposed by Lukierski, Nowicki and Ruegg (1991).