تقرير
On Carrollian and Galilean contractions of BMS algebra in 3 and 4 dimensions
| العنوان: | On Carrollian and Galilean contractions of BMS algebra in 3 and 4 dimensions |
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| المؤلفون: | Borowiec, Andrzej, Kowalski-Glikman, Jerzy, Trześniewski, Tomasz |
| سنة النشر: | 2023 |
| المجموعة: | General Relativity and Quantum Cosmology High Energy Physics - Theory |
| مصطلحات موضوعية: | High Energy Physics - Theory, General Relativity and Quantum Cosmology |
| الوصف: | 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 Poincar\'{e} 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 Poincar\'{e} subalgebras. In 3+1 dimensions, we have to apply instead the analogy between the structures of Poincar\'{e} and BMS algebra. In the case of non-vanishing cosmological constant in 2+1 dimensions, we consider the contractions of $\Lambda$-BMS${}_3$ algebra in an analogous manner. Comment: 17 pages, v2 the role of real forms clarified, extended discussion of the contractions of $\Lambda$-BMS_3, typos in formulae corrected, references added |
| نوع الوثيقة: | Working Paper |
| URL الوصول: | http://arxiv.org/abs/2312.17245 |
| رقم الأكسشن: | edsarx.2312.17245 |
| قاعدة البيانات: | arXiv |
| الوصف غير متاح. |