Andrzej Borowiec, Jerzy Kowalski-Glikman and Tomasz Trześniewski
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引用次数: 0
Abstract
In this paper, we find a class of Carrollian and Galilean contractions of (extended) Bondi–van der Burg–Metzner–Sachs (BMS) algebra in 3+1 and 2+1 dimensions. To this end, we investigate possible embeddings of 3D/4D Poincaré into the BMS and BMS 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 algebra in an analogous manner. As a by-product, we have also analyzed reality conditions on the Witt algebra and obtained new results.
本文研究了3+1和2+1维Bondi-van der Burg-Metzner-Sachs （BMS）代数的（扩展）Carrollian和Galilean压缩。为此，我们分别研究了3D/4D poincarcarve嵌入BMS和BMS代数的可能性。在2+1维情况下，通过对其poincarcars子代数进行适当的压缩来实现收缩极限。在3+1维中，我们必须应用poincarcarve和BMS代数结构之间的类比。在2+1维宇宙常数不消失的情况下，我们以类似的方式考虑Λ-BMS代数的收缩。作为副产物，我们还分析了Witt代数的现实条件，得到了新的结果。
期刊介绍：
Classical and Quantum Gravity is an established journal for physicists, mathematicians and cosmologists in the fields of gravitation and the theory of spacetime. The journal is now the acknowledged world leader in classical relativity and all areas of quantum gravity.
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