Schwarzian mechanics via nonlinear realizations; Physics Letters B; Vol. 795
| Parent link: | Physics Letters B Vol. 795.— 2019.— [P. 277-280] |
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| Sumari: | Title screen The method of nonlinear realizations is used to clarify some conceptual and technical issues related to the Schwarzian mechanics. It is shown that the Schwarzian derivative arises naturally, if one applies the method to SL(2,R)×R group and decides to keep the number of the independent Goldstone fields to a minimum. The Schwarzian derivative is linked to the invariant Maurer-Cartan one-forms, which make its SL(2,R)-invariance manifest. A Lagrangian formulation for a variant of the Schwarzian mechanics studied recently in A. Galajinsky (2018) is built and its geometric description in terms of 4d metric of the ultrahyperbolic signature is given. |
| Idioma: | anglès |
| Publicat: |
2019
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| Accés en línia: | http://earchive.tpu.ru/handle/11683/64860 https://doi.org/10.1016/j.physletb.2019.05.054 |
| Format: | Electrònic Capítol de llibre |
| KOHA link: | https://koha.lib.tpu.ru/cgi-bin/koha/opac-detail.pl?biblionumber=661915 |
| Sumari: | Title screen The method of nonlinear realizations is used to clarify some conceptual and technical issues related to the Schwarzian mechanics. It is shown that the Schwarzian derivative arises naturally, if one applies the method to SL(2,R)×R group and decides to keep the number of the independent Goldstone fields to a minimum. The Schwarzian derivative is linked to the invariant Maurer-Cartan one-forms, which make its SL(2,R)-invariance manifest. A Lagrangian formulation for a variant of the Schwarzian mechanics studied recently in A. Galajinsky (2018) is built and its geometric description in terms of 4d metric of the ultrahyperbolic signature is given. |
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| DOI: | 10.1016/j.physletb.2019.05.054 |