$\kappa$-Minkowski star product in any dimension from symplectic realization

Abstract

We derive an explicit expression for the star product reproducing the $\kappa$-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.

published version

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Cited by in corpus (14)

• Noncommutative field theory from angular twist
• $\kappa$-Poincaré invariant quantum field theories with KMS weight
• Gauge theories on quantum spaces
• $\kappa$-Poincaré invariant orientable field theories at 1-loop
• Remarks on simple interpolation between Jordanian twists
• Poisson gauge models and Seiberg-Witten map
• Localization and observers in $\varrho$-Minkowski spacetime
• Spectral dimensions and dimension spectra of quantum spacetimes
• Involutive representations of coordinate algebras and quantum spaces
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• Conformal quantum mechanics and holography in noncommutative space-time
• Fuzzy de Sitter Space from kappa-Minkowski Space in Matrix Basis
• The Weyl-Mellin quantization map for $\kappa$-Minkowski Noncommutative Spacetime