κ-Minkowski star product in any dimension from symplectic realization

Author： Pachoł Anna   Vitale Patrizia  

Publisher： IOP Publishing

E-ISSN： 1751-8121|48|44|445202-445217

ISSN： 1751-8121

Source： Journal of Physics A: Mathematical and Theoretical, Vol.48, Iss.44, 2015-11, pp. : 445202-445217

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Abstract

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 &${{mathbb{C}}}_{theta }^{d}$; with n = d + 1. It is thus shown that the new star product can be obtained from a Jordanian twist.

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