Dual $κ$-Minkowski spaces and $κ$-Poincaré algebras from Yang model and their Weyl realizations
We consider the Yang algebras isomorphic to $o(1,5), o(2,4), o(3,3)$ and derive dual $κ$-Minkowski and $κ$-Poincaré 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 $κ$-Minkowski and $κ$-Poincaré algebras as special cases.
hep-th↗