BMS algebra as an extension of the Poincaré symmetry in light-cone gravity

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.

arXiv comment8 pages, no figures, version published in JHEP

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Cited by in corpus (4)

• BMS algebra from residual gauge invariance in light-cone gravity
• Residual gauge symmetry in light-cone electromagnetism
• A microscopic analogue of the BMS group
• BMS symmetry in gravity: Front form versus Instant form