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arXiv · 1703.01833

Canonical Realization of (2+1)-dimensional Bondi-Metzner-Sachs symmetry

Carles Batlle·Victor Campello·Joaquim Gomis
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Abstract

We construct canonical realizations of the $\mathfrak{bms}_3$ algebra as symmetry algebras of a free Klein-Gordon (KG) field in $2+1$ dimensions, for both the massive and massless case. We consider two types of realizations, one on-shell, written in terms of the Fourier modes of the scalar field, and the other one off-shell with non-local transformations written in terms of the KG field and its momenta. These realizations contain both supertranslations and superrotations, for which we construct the corresponding Noether charges.

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Carles Batlle, Victor Campello, Joaquim Gomis. 2017-03-06. Canonical Realization of (2+1)-dimensional Bondi-Metzner-Sachs symmetry. https://doi.org/10.1103/physrevd.96.025004

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