Coupling-constant metamorphosis in SL(2,R)-invariant systems; Journal of Geometry and Physics; Vol. 168
| Parent link: | Journal of Geometry and Physics: Scientific Journal Vol. 168.— 2021.— [104320, 10 p.] |
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| Autor principal: | |
| Autor corporatiu: | |
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| Sumari: | Title screen It is shown that, if the energy in the Schwarzian mechanics (SM) is equal to the coupling constant in the de Alfaro-Fubini-Furlan (dAFF) model, there exists a link between these two systems. In particular, the equation of motion, sl(2,R)-symmetry transformations and the corresponding conserved charges of SM can be derived from those of dAFF model by applying a coordinate transformation of a special type, while the general solution of dAFF system maps to the velocity function of SM. It is also demonstrated that the Hamiltonian of SM can be obtained from the Hamiltonian of dAFF model by applying coupling-constant metamorphosis and the oxidation procedure. Режим доступа: по договору с организацией-держателем ресурса |
| Idioma: | anglès |
| Publicat: |
2021
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| Matèries: | |
| Accés en línia: | https://doi.org/10.1016/j.geomphys.2021.104320 |
| Format: | Electrònic Capítol de llibre |
| KOHA link: | https://koha.lib.tpu.ru/cgi-bin/koha/opac-detail.pl?biblionumber=668526 |
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| 200 | 1 | |a Coupling-constant metamorphosis in SL(2,R)-invariant systems |f I. V. Masterov, M. A. Masterova | |
| 203 | |a Text |c electronic | ||
| 300 | |a Title screen | ||
| 320 | |a [References: 41 tit.] | ||
| 330 | |a It is shown that, if the energy in the Schwarzian mechanics (SM) is equal to the coupling constant in the de Alfaro-Fubini-Furlan (dAFF) model, there exists a link between these two systems. In particular, the equation of motion, sl(2,R)-symmetry transformations and the corresponding conserved charges of SM can be derived from those of dAFF model by applying a coordinate transformation of a special type, while the general solution of dAFF system maps to the velocity function of SM. It is also demonstrated that the Hamiltonian of SM can be obtained from the Hamiltonian of dAFF model by applying coupling-constant metamorphosis and the oxidation procedure. | ||
| 333 | |a Режим доступа: по договору с организацией-держателем ресурса | ||
| 461 | |t Journal of Geometry and Physics |o Scientific Journal | ||
| 463 | |t Vol. 168 |v [104320, 10 p.] |d 2021 | ||
| 610 | 1 | |a электронный ресурс | |
| 610 | 1 | |a труды учёных ТПУ | |
| 610 | 1 | |a conformal mechanics | |
| 610 | 1 | |a coupling-constant metamorphosis | |
| 610 | 1 | |a schwarzian derivative | |
| 700 | 1 | |a Masterov |b I. V. |g Ivan Viktorovich | |
| 701 | 1 | |a Masterova |b M. A. |c mathematician |c Laboratory assistant of Tomsk Polytechnic University |f 1988- |g Mariya Alexandrovna |3 (RuTPU)RU\TPU\pers\35495 | |
| 712 | 0 | 2 | |a Национальный исследовательский Томский политехнический университет |b Школа базовой инженерной подготовки |b Отделение математики и информатики |3 (RuTPU)RU\TPU\col\23555 |
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