Abstract
We analyze possible local extensions of the Poincaré symmetry in light-cone gravity in four dimensions. We use a formalism where we represent the algebra on the two physical degrees of freedom, one with helicity 2 and the other with helicity −2. The representation is non-linearly realized and one of the light-cone momenta is the Hamiltonian, which is hence a non-linear generator of the algebra. We find that this can be locally realized and the Poincaré algebra extended to the BMS symmetry without any reference to asymptotic limits.
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Ananth, S., Brink, L. & Majumdar, S. Bondi-Metzner-Sachs algebra as an extension of the Poincaré symmetry in light-cone gravity. J. High Energ. Phys. 2021, 129 (2021). https://doi.org/10.1007/JHEP07(2021)129
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DOI: https://doi.org/10.1007/JHEP07(2021)129