Kappa-deformation of Poincare superalgebra with classical Lorentz subalgebra and its graded bicrossproduct structure

Abstract

The kappa-deformed D=4 Poincare superalgebra written in Hopf superalgebra form is transformed to the basis with classical Lorentz subalgebra generators. We show that in such a basis the kappa-deformed D=4 Poincare superalgebra can be written as a graded bicrossproduct. We show that the kappa-deformed D=4 superalgebra acts covariantly on a kappa-deformed chiral superspace.