$\kappa$-deformed BMS symmetry

Abstract

We present the quantum $\kappa$-deformation of BMS symmetry, by generalizing the lightlike $\kappa$-Poincar\'e Hopf algebra. On the technical level, our analysis relies on the fact that the lightlike $\kappa$-deformation of Poincar\'e algebra is given by a twist and the lightlike deformation of any algebra containing Poincar\'e 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.