Jordanian quantum deformations of D=4 anti-de Sitter and Poincare superalgebras

We consider a superextension of the extended Jordanian twist, describing the non-standard quantization of the anti-de Sitter (AdS) superalgebra osp(1 vertical bar 4) in the form of a Hopf superalgebra. The super-Jordanian twisting function and corresponding basic coproduct formulae for the generators of osp(1 vertical bar 4) are given in explicit form. A non-linear transformation of the classical superalgebra basis not modifying the defining algebraic relations but simplifying coproducts and antipodes is proposed. Our physical application is in the interpretation of the new super-Jordanian deformation of the osp(1 vertical bar 4) superalgebra as deformed D = 4 AdS supersymmetries. Subsequently we perform a suitable contraction of the quantum Jordanian AdS superalgebra and obtain a new kappa-deformation of the D = 4 Poincare superalgebra, with the bosonic sector describing the light-cone kappa-deformation of the Poincare symmetries.