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

Canonical realization of (2+1)-dimensional Bondi-Metzner-Sachs symmetry We construct canonical realizations of the (2+1)-dimensional Bondi-Metzner-Sachs (bms3) algebra as symmetry algebras of a free Klein-Gordon (KG) field in 2+1 dimensions for both massive and massless cases. We consider two types of realizations, one on shell, written in terms of the Fourier modes of the scalar field, and the other off shell, with nonlocal 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. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Physical Review D American Physical Society (APS)

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

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

Abstract

We construct canonical realizations of the (2+1)-dimensional Bondi-Metzner-Sachs (bms3) algebra as symmetry algebras of a free Klein-Gordon (KG) field in 2+1 dimensions for both massive and massless cases. We consider two types of realizations, one on shell, written in terms of the Fourier modes of the scalar field, and the other off shell, with nonlocal 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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Publisher
The American Physical Society
Copyright
Copyright © © 2017 American Physical Society
ISSN
1550-7998
eISSN
1550-2368
D.O.I.
10.1103/PhysRevD.96.025004
Publisher site
See Article on Publisher Site

Abstract

We construct canonical realizations of the (2+1)-dimensional Bondi-Metzner-Sachs (bms3) algebra as symmetry algebras of a free Klein-Gordon (KG) field in 2+1 dimensions for both massive and massless cases. We consider two types of realizations, one on shell, written in terms of the Fourier modes of the scalar field, and the other off shell, with nonlocal 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.

Journal

Physical Review DAmerican Physical Society (APS)

Published: Jul 15, 2017

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