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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2023
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2312.17245 |
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| _version_ | 1866910788400185344 |
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| author | Borowiec, Andrzej Kowalski-Glikman, Jerzy Trześniewski, Tomasz |
| author_facet | Borowiec, Andrzej Kowalski-Glikman, Jerzy Trześniewski, Tomasz |
| contents | In this paper, we find a class of Carrollian and Galilean contractions of (extended) BMS algebra in 3+1 and 2+1 dimensions. To this end, we investigate possible embeddings of 3D/4D Poincaré into the BMS${}_3$ and BMS${}_4$ algebras, respectively. The contraction limits in the 2+1-dimensional case are then enforced by appropriate contractions of its Poincaré subalgebras. In 3+1 dimensions, we have to apply instead the analogy between the structures of Poincaré and BMS algebra. In the case of non-vanishing cosmological constant in 2+1 dimensions, we consider the contractions of $Λ$-BMS${}_3$ algebra in an analogous manner. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2312_17245 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | On Carrollian and Galilean contractions of BMS algebra in 3 and 4 dimensions Borowiec, Andrzej Kowalski-Glikman, Jerzy Trześniewski, Tomasz High Energy Physics - Theory General Relativity and Quantum Cosmology In this paper, we find a class of Carrollian and Galilean contractions of (extended) BMS algebra in 3+1 and 2+1 dimensions. To this end, we investigate possible embeddings of 3D/4D Poincaré into the BMS${}_3$ and BMS${}_4$ algebras, respectively. The contraction limits in the 2+1-dimensional case are then enforced by appropriate contractions of its Poincaré subalgebras. In 3+1 dimensions, we have to apply instead the analogy between the structures of Poincaré and BMS algebra. In the case of non-vanishing cosmological constant in 2+1 dimensions, we consider the contractions of $Λ$-BMS${}_3$ algebra in an analogous manner. |
| title | On Carrollian and Galilean contractions of BMS algebra in 3 and 4 dimensions |
| topic | High Energy Physics - Theory General Relativity and Quantum Cosmology |
| url | https://arxiv.org/abs/2312.17245 |