Realizations and star-product of doubly $κ$-deformed Yang models
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arXiv
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| Format: | Preprint |
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2024
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| _version_ | 1866916189283811328 |
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| author | Martinić-Bilać, T. Meljanac, S. Mignemi, S. |
| author_facet | Martinić-Bilać, T. Meljanac, S. Mignemi, S. |
| contents | The Yang algebra was proposed a long time ago as a generalization of the Snyder algebra to the case of curved background spacetime. It includes as subalgebras both the Snyder and the de Sitter algebras and can therefore be viewed as a model of noncommutative curved spacetime. A peculiarity with respect to standard models of noncommutative geometry is that it includes translation and Lorentz generators, so that the definition of a Hopf algebra and the physical interpretation of the variables conjugated to the primary ones is not trivial. In this paper we consider the realizations of the Yang algebra and its $κ$-deformed generalization on an extended phase space and in this way we are able to define a Hopf structure and a twist. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2404_01792 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Realizations and star-product of doubly $κ$-deformed Yang models Martinić-Bilać, T. Meljanac, S. Mignemi, S. High Energy Physics - Theory Mathematical Physics The Yang algebra was proposed a long time ago as a generalization of the Snyder algebra to the case of curved background spacetime. It includes as subalgebras both the Snyder and the de Sitter algebras and can therefore be viewed as a model of noncommutative curved spacetime. A peculiarity with respect to standard models of noncommutative geometry is that it includes translation and Lorentz generators, so that the definition of a Hopf algebra and the physical interpretation of the variables conjugated to the primary ones is not trivial. In this paper we consider the realizations of the Yang algebra and its $κ$-deformed generalization on an extended phase space and in this way we are able to define a Hopf structure and a twist. |
| title | Realizations and star-product of doubly $κ$-deformed Yang models |
| topic | High Energy Physics - Theory Mathematical Physics |
| url | https://arxiv.org/abs/2404.01792 |