κκ-Minkowski star product in any dimension from symplectic realization

preprint2015arXivOpen access

Abstract

We derive an explicit expression for the star product reproducing the κκ-Minkowski Lie algebra in any dimension nn. The result is obtained by suitably reducing the Wick-Voros star product defined on Cθd\mathbb{C}^{d}_θ with n=d+1n=d+1. It is thus shown that the new star product can be obtained from a Jordanian twist.

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