Dual $κ$-Minkowski spaces and $κ$-Poincaré algebras from Yang model and their Weyl realizations
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| Format: | Preprint |
| Publié: |
2025
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| _version_ | 1866916714752507904 |
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| author | Bilać, T. Martinić Meljanac, S. Mignemi, S. |
| author_facet | Bilać, T. Martinić Meljanac, S. Mignemi, S. |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2504_21482 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Dual $κ$-Minkowski spaces and $κ$-Poincaré algebras from Yang model and their Weyl realizations Bilać, T. Martinić Meljanac, S. Mignemi, S. High Energy Physics - Theory Mathematical Physics 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. |
| title | Dual $κ$-Minkowski spaces and $κ$-Poincaré algebras from Yang model and their Weyl realizations |
| topic | High Energy Physics - Theory Mathematical Physics |
| url | https://arxiv.org/abs/2504.21482 |