Particle realization of Bondi-Metzner-Sachs symmetry in 2 + 1 space-time
We construct a Lorentz invariant massive particle model in (2+1) space-time with an enlarged set of symmetries which includes Bondi-Metzner-Sachs (BMS) translations (supertranslations), using the non-linear realization framework. The Hamiltonian formalism for the resulting Lagrangian is constructed,...
| Autores: | , , |
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| Formato: | artículo |
| Fecha de publicación: | 2023 |
| País: | España |
| Recursos: | Universitat Politècnica de Catalunya (UPC) |
| Repositorio: | UPCommons. Portal del coneixement obert de la UPC |
| Idioma: | inglés |
| OAI Identifier: | oai:upcommons.upc.edu:2117/396178 |
| Acesso em linha: | https://hdl.handle.net/2117/396178 https://dx.doi.org/10.1007/JHEP11(2023)011 |
| Access Level: | acceso abierto |
| Palavra-chave: | Symmetry (Mathematics) Space-time symmetries Gauge symmetry Bonder-Metzner-Sachs symmetries Simetria (Matemàtica) Àrees temàtiques de la UPC::Matemàtiques i estadística::Àlgebra |
| Resumo: | We construct a Lorentz invariant massive particle model in (2+1) space-time with an enlarged set of symmetries which includes Bondi-Metzner-Sachs (BMS) translations (supertranslations), using the non-linear realization framework. The Hamiltonian formalism for the resulting Lagrangian is constructed, and the infinite phase-space constraints and the set of gauge transformations are analysed. We also compute the massless limit of the theory in phase-space. After eliminating the gauge degrees of freedom, the physical reduced space is left only with the degrees of freedom of a standard Poincaré particle but with a residual set of symmetries that we prove to be BMS. A similar result for the massless limit, including in this case superrotations, is pointed out. |
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