$\kappa$-deformed BMS symmetry

Abstract

We present the quantum $\kappa$-deformation of BMS symmetry, by generalizing the lightlike $\kappa$-Poincaré Hopf algebra. On the technical level, our analysis relies on the fact that the lightlike $\kappa$-deformation of Poincaré algebra is given by a twist and the lightlike deformation of any algebra containing Poincaré as a subalgebra can be done with the help of the same twisting element. We briefly comment on the physical relevance of the obtained $\kappa$-BMS Hopf algebra as a possible asymptotic symmetry of quantum gravity.

arXiv comment13 pages, minor changes-presentation improved, final discussion considerably expanded, accepted for publication in Physics Letters B

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• On Carrollian and Galilean contractions of BMS algebra in 3 and 4 dimensions
• 3-dimensional $\Lambda$-BMS Symmetry and its Deformations