κ-Deformation of Poincaré Superalgebra with Classical Lorentz Subalgebra and its Graded Bicrossproduct Structure

The κ-deformedD = 4 Poincaré superalgebra written in Hopf superalgebra form is transformed to the basis with classical Lorentz subalgebra generators. We show that in such a basis the κ-deformed D = 4 Poincaré superalgebra can be written as graded bicrossproduct. We show that the κ-deformed D = 4 superalgebra acts covariantly on κ-deformed chiral superspace. Institute of Physics, University of Lódź, ul. Pomorska 149/153, 90-236 Lódź, Poland. SISSA, via Beirut 9, Trieste-Miramare, Italy, on leave of absence from the Institute for Theoretical Physics, University of Wroc law, pl. Maxa Borna 9, 50-204 Wroc law, Poland. Dept. of Functional Analysis, Institute of Mathematics, University of Lódź, ul. S. Banacha 22, 90-238 Lódź, Poland. International Centre for Theoretical Physics, 34100 Trieste, Italy, on leave of absence from Institute for Theoretical Physics, University of Wroc law, pl. Maxa Borna 9, 50-204 Wroc law, Poland. Partially supported by KBN grant 2P 302 21706. Partially supported by KBN grant 2P 302 08706.