Non-relativistic Bondi-Metzner-Sachs algebra
We construct two possible candidates for non-relativistic bms(4) algebra in four space-time dimensions by contracting the original relativistic bms(4) algebra. bms(4) algebra is infinite-dimensional and it contains the generators of the Poincare algebra, together with the so-called super-translation...
| Autores: | , , |
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| Tipo de recurso: | artículo |
| Fecha de publicación: | 2017 |
| País: | España |
| Institución: | Universitat Politècnica de Catalunya (UPC) |
| Repositorio: | UPCommons. Portal del coneixement obert de la UPC |
| Idioma: | inglés |
| OAI Identifier: | oai:upcommons.upc.edu:2117/108665 |
| Acceso en línea: | https://hdl.handle.net/2117/108665 https://dx.doi.org/10.1088/1361-6382/aa8388 |
| Access Level: | acceso abierto |
| Palabra clave: | Mathematics Algebra Mathematical analysis Fourier analysis non-relativistic BMS symmetry canonical realization space-time symmetries Àlgebra Matemàtica Anàlisi matemàtica Fourier, Anàlisi de Àrees temàtiques de la UPC::Matemàtiques i estadística::Àlgebra |
| Sumario: | We construct two possible candidates for non-relativistic bms(4) algebra in four space-time dimensions by contracting the original relativistic bms(4) algebra. bms(4) algebra is infinite-dimensional and it contains the generators of the Poincare algebra, together with the so-called super-translations. Similarly, the proposed nrbms(4) 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 Schrodinger field, mimicking the canonical realization of relativistic bms(4) algebra using a free Klein-Gordon field. |
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