κ-Minkowski star product in any dimension from symplectic realization

Anna Pachoł and Patrizia Vitale
J.Phys. A48 (2015) 44, 445202
  1507.03523.pdf

We derive an explicit expression for the star product reproducing the κ-Minkowski Lie algebra in any dimension n. The result is obtained by suitably reducing the Wick-Voros star product defined on dθ with n=d+1. It is thus shown that the new star product can be obtained from a Jordanian twist.