Quantum Deformation of the Poincare Supergroup and $κ$-deformed Superspace

Details Quantum Deformation of the Poincare Supergroup and $κ$-deformed Superspace Quantum Deformation of the Poincare Supergroup and $κ$-deformed Superspace

1994-05-11

arxiv.org/abs/hep-th/9405076v1

J.Phys. A27 (1994) 6827-6838

Physics

High Energy Physics

High Energy Physics - Theory

Wroclaw University preprint IFTUWr 868 /94, March 1994, 12 pages

Scientific paper

10.1088/0305-4470/27/20/019

The classical $r$-matrix for $N=1$ superPoincar{\'e} algebra, given by Lukierski, Nowicki and Sobczyk is used to describe the graded Poisson structure on the $N=1$ Poincar{\'e} supergroup. The standard correspondence principle between the even (odd) Poisson brackets and (anti)commutators leads to the consistent quantum deformation of the superPoincar{\'e} group with the deformation parameter $q$ described by fundamental mass parameter $\kappa \quad (\kappa^{-1}=\ln{q})$. The $\kappa$-deformation of $N=1$ superspace as dual to the $\kappa$-deformed supersymmetry algebra is discussed.

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