Dual $\kappa$-Minkowski spaces and $\kappa$-Poincar\'{e} algebras from Yang model and their Weyl realizations

T. Martinić Bilać; S. Meljanac; S. Mignemi

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arXiv · 2504.21482

Dual $\kappa$-Minkowski spaces and $\kappa$-Poincar\'{e} algebras from Yang model and their Weyl realizations

T. Martinić Bilać·S. Meljanac·S. Mignemi

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Abstract

We consider the Yang algebras isomorphic to $o(1,5), o(2,4), o(3,3)$ and derive dual $\kappa$-Minkowski and $\kappa$-Poincar\'{e} algebras in terms of a metric $g$. The corresponding Weyl realization is presented and coproduct, star product and twist are computed in terms of the metric $g$. Finally, we construct reduced $\kappa$-Minkowski and $\kappa$-Poincar\'{e} algebras as special cases.

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T. Martinić Bilać, S. Meljanac, S. Mignemi. 2025-04-30. Dual $\kappa$-Minkowski spaces and $\kappa$-Poincar\'{e} algebras from Yang model and their Weyl realizations. https://arxiv.org/abs/2504.21482

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