BMS algebra from residual gauge invariance in light-cone gravity

Abstract

We analyze the residual gauge freedom in gravity, in four dimensions, in the light-cone gauge, in a formulation where unphysical fields are integrated out. By checking the invariance of the light-cone Hamiltonian, we obtain a set of residual gauge transformations, which satisfy the BMS algebra realized on the two physical fields in the theory. Hence, the BMS algebra appears as a consequence of residual gauge invariance in the bulk and not just at the asymptotic boundary. We highlight the key features of the light-cone BMS algebra and discuss its connection with the quadratic form structure of the Hamiltonian.

19 pages, appendices added, no change in conclusions, version published in JHEP

References in corpus (6)

• Conformal Carroll groups and BMS symmetry
• The N=8 Supergravity Hamiltonian as a Quadratic Form
• The quintic interaction vertex in light-cone gravity
• Counterterms in Gravity in the Light-Front Formulation and a D=2 Conformal-like Symmetry in Gravity
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Cited by in corpus (5)

• Radiative Asymptotic Symmetries of 3D Einstein-Maxwell Theory
• Residual gauge symmetry in light-cone electromagnetism
• A microscopic analogue of the BMS group
• Field-dependent diffeomorphisms and the transformation of surface charges between gauges
• BMS symmetry in gravity: Front form versus Instant form