Maxwell kinematical algebras and 3D gravities
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arXiv
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| Autores principales: | , , , |
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| Formato: | Preprint |
| Publicado: |
2026
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| Acceso en línea: | |
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| _version_ | 1866910031628206080 |
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| author | Concha, Patrick Gallegos, Nelson Rodríguez, Evelyn Salgado, Sebastián |
| author_facet | Concha, Patrick Gallegos, Nelson Rodríguez, Evelyn Salgado, Sebastián |
| contents | In this paper, we present a Maxwell extension of kinematical Lie algebras by promoting the contraction method underlying the Bacry and Lévy-Leblond cube to a semigroup expansion framework. Within this approach, we show that both non- and ultra-relativistic Maxwell algebras admitting non-degenerate invariant bilinear forms can be systematically obtained from different parent algebras through a unified expansion scheme, leading to a Maxwellian kinematical cube. This construction is further generalized to an infinite hierarchy of kinematical algebras. The expansion method naturally provides the corresponding invariant tensors, allowing for the systematic construction of three-dimensional Chern-Simons gravity theories. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2602_21038 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Maxwell kinematical algebras and 3D gravities Concha, Patrick Gallegos, Nelson Rodríguez, Evelyn Salgado, Sebastián High Energy Physics - Theory General Relativity and Quantum Cosmology Mathematical Physics In this paper, we present a Maxwell extension of kinematical Lie algebras by promoting the contraction method underlying the Bacry and Lévy-Leblond cube to a semigroup expansion framework. Within this approach, we show that both non- and ultra-relativistic Maxwell algebras admitting non-degenerate invariant bilinear forms can be systematically obtained from different parent algebras through a unified expansion scheme, leading to a Maxwellian kinematical cube. This construction is further generalized to an infinite hierarchy of kinematical algebras. The expansion method naturally provides the corresponding invariant tensors, allowing for the systematic construction of three-dimensional Chern-Simons gravity theories. |
| title | Maxwell kinematical algebras and 3D gravities |
| topic | High Energy Physics - Theory General Relativity and Quantum Cosmology Mathematical Physics |
| url | https://arxiv.org/abs/2602.21038 |