On Carrollian and Galilean contractions of BMS algebra in 3 and 4 dimensions
Abstract
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 BMS3 and BMS4 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 -BMS3 algebra in an analogous manner.
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