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.

8 pages, no figures, version published in JHEP

References in corpus (4)

• Conformal Carroll groups and BMS symmetry
• KLT relations from the Einstein-Hilbert Lagrangian
• The N=8 Supergravity Hamiltonian as a Quadratic Form
• Asymptotic structure of the Pauli-Fierz theory in four spacetime dimensions

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