Extended Galilean symmetries of non-relativistic strings
We consider two non-relativistic strings and their Galilean symmetries. These strings are obtained as the two possible non-relativistic (NR) limits of a relativistic string. One of them is non-vibrating and represents a continuum of non-relativistic massless particles, and the other one is a non-rel...
| Autores: | , , |
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| Tipo de documento: | artigo |
| Data de publicação: | 2017 |
| País: | España |
| Recursos: | Universitat Politècnica de Catalunya (UPC) |
| Repositório: | UPCommons. Portal del coneixement obert de la UPC |
| Idioma: | inglês |
| OAI Identifier: | oai:upcommons.upc.edu:2117/104368 |
| Acesso em linha: | https://hdl.handle.net/2117/104368 https://dx.doi.org/10.1007/JHEP02(2017)049 |
| Access Level: | Acceso aberto |
| Palavra-chave: | Symmetry Relativity (Physics) Space-Time Symmetries Bosonic Strings AdS-CFT Correspondence Simetria (Matemàtica) Simetria (Física) Relativitat (Física) Àrees temàtiques de la UPC::Física::Relativitat Àrees temàtiques de la UPC::Matemàtiques i estadística::Àlgebra |
| Resumo: | We consider two non-relativistic strings and their Galilean symmetries. These strings are obtained as the two possible non-relativistic (NR) limits of a relativistic string. One of them is non-vibrating and represents a continuum of non-relativistic massless particles, and the other one is a non-relativistic vibrating string. For both cases we write the generator of the most general point transformation and impose the condition of Noether symmetry. As a result we obtain two sets of non-relativistic Killing equations for the vector fields that generate the symmetry transformations. Solving these equations shows that NR strings exhibit two extended, infinite dimensional space-time symmetries which contain, as a subset, the Galilean symmetries. For each case, we compute the associated conserved charges and discuss the existence of non-central extensions. |
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