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.
Dual κ-Minkowski spaces and κ-Poincaré algebras from Yang model and their Weyl realizations
Mignemi, Salvatore
2025-01-01
Abstract
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.
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