Non-relativistic bondi-metzner-sachs algebra

Carles Batlle; Diego Delmastro; Joaquim Gomis

doi:10.1088/1361-6382/aa8388

Non-relativistic bondi-metzner-sachs algebra

Carles Batlle
, Diego Delmastro
, Joaquim Gomis

Simons Center for Geometry & Physics

Polytechnic University of Catalonia
University of Barcelona

Research output: Contribution to journal › Article › peer-review

5 Scopus citations

Abstract

We construct two possible candidates for non-relativistic bms₄ algebra in four space-time dimensions by contracting the original relativistic bms₄ algebra. bms₄ algebra is infinite-dimensional and it contains the generators of the Poincar algebra, together with the so-called super-translations. Similarly, the proposed nrbms₄ algebras can be regarded as two infinite-dimensional extensions of the Bargmann algebra. We also study a canonical realization of one of these algebras in terms of the Fourier modes of a free Schr-dinger field, mimicking the canonical realization of relativistic bms₄ algebra using a free Klein-Gordon field.

Original language	English
Article number	184002
Journal	Classical and Quantum Gravity
Volume	34
Issue number	18
DOIs	https://doi.org/10.1088/1361-6382/aa8388
State	Published - Aug 29 2017

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AB - We construct two possible candidates for non-relativistic bms4 algebra in four space-time dimensions by contracting the original relativistic bms4 algebra. bms4 algebra is infinite-dimensional and it contains the generators of the Poincar algebra, together with the so-called super-translations. Similarly, the proposed nrbms4 algebras can be regarded as two infinite-dimensional extensions of the Bargmann algebra. We also study a canonical realization of one of these algebras in terms of the Fourier modes of a free Schr-dinger field, mimicking the canonical realization of relativistic bms4 algebra using a free Klein-Gordon field.

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Non-relativistic bondi-metzner-sachs algebra

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