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Quantum deformation of the Poincare supergroup and kappa -deformed superspace

Quantum deformation of the Poincare supergroup and kappa -deformed superspace

The classical r-matrix for the N=1 super-Poincare algebra, given by Lukierski et al. (1993), is used to describe the graded Poisson structure on the N=1 Poincare supergroup. The standard correspondence principle between the even (odd) Poisson brackets and (anti)commutators leads to the consistent quantum deformation of the super-Poincare group with …