Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2004-12-13
Eur.Phys.J.C44:139-145,2005
Physics
High Energy Physics
High Energy Physics - Theory
LaTeX,13 pages, comments and references added, to be published in Eur.Phys.J.C
Scientific paper
10.1140/epjc/s2005-02338-2
We consider a superextension of the extended Jordanian twist, describing nonstandard quantization of anti-de-Sitter ($AdS$) superalgebra $osp(1|4)$ in the form of Hopf superalgebra. The super-Jordanian twisting function and corresponding basic coproduct formulae for the generators of $osp(1|4)$ are given in explicit form. The nonlinear transformation of the classical superalgebra basis not modifying the defining algebraic relations but simplifying coproducts and antipodes is proposed. Our physical application is to interpret the new super-Jordanian deformation of $osp(1|4)$ superalgebra as deformed D=4 $AdS$ supersymmetries. Subsequently we perform suitable contraction of quantum Jordanian $AdS$ superalgebra and obtain new $\kappa$-deformation of D=4 Poincare superalgebra, with the bosonic sector describing the light cone $\kappa$-deformation of Poincare symmetries.
Borowiec Andrzej
Lukierski Jerzy
Tolstoy Valerij N.
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