Coupling-constant metamorphosis in SL(2,R)-invariant systems; Journal of Geometry and Physics; Vol. 168

Coupling-constant metamorphosis in SL(2,R)-invariant systems; Journal of Geometry and Physics; Vol. 168

Bibliographische Detailangaben
Parent link:Journal of Geometry and Physics: Scientific Journal
Vol. 168.— 2021.— [104320, 10 p.]
1. Verfasser: Masterov I. V. Ivan Viktorovich
Körperschaft: Национальный исследовательский Томский политехнический университет Школа базовой инженерной подготовки Отделение математики и информатики
Weitere Verfasser: Masterova M. A. Mariya Alexandrovna
Zusammenfassung: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
Sprache:Englisch
Veröffentlicht: 2021
Schlagworte:
электронный ресурс
труды учёных ТПУ
conformal mechanics
coupling-constant metamorphosis
schwarzian derivative
Online-Zugang:https://doi.org/10.1016/j.geomphys.2021.104320
Format: Elektronisch Buchkapitel
KOHA link:https://koha.lib.tpu.ru/cgi-bin/koha/opac-detail.pl?biblionumber=668526

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