Physics Letters B (Mar 2019)

κ-deformed BMS symmetry

  • Andrzej Borowiec,
  • Lennart Brocki,
  • Jerzy Kowalski-Glikman,
  • Josua Unger

Journal volume & issue
Vol. 790
pp. 415 – 420

Abstract

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We present the quantum κ-deformation of BMS symmetry, by generalizing the lightlike κ-Poincaré Hopf algebra. On the technical level our analysis relies on the fact that the lightlike κ-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 κ-BMS Hopf algebra as a possible asymptotic symmetry of quantum gravity. Keywords: BMS symmetry, Symmetry deformations, Hopf algebras