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

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arxiv 1703.01833 v3 pith:LUO5EQI6 submitted 2017-03-06 hep-th

classification hep-th
keywords fieldrealizationscanonicalconstructsymmetrytermswrittenalgebra
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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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  1. BMS-like algebras: canonical realisations and BRST quantisation

    hep-th 2024-11 conditional novelty 6.0 of 10

    A family of Weyl λ-BMS algebras is realized canonically from a Klein-Gordon field, centrally extended, and shown to have BRST cohomology matching an N=2 superconformal chiral ring, while the conformal BMS W-algebra is...

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