Coupling-constant metamorphosis in SL(2,R)-invariant systems

Coupling-constant metamorphosis in SL(2,R)-invariant systems

Bibliografski detalji
Parent link:Journal of Geometry and Physics: Scientific Journal
Vol. 168.— 2021.— [104320, 10 p.]
Glavni autor: Masterov I. V. Ivan Viktorovich
Autor kompanije: Национальный исследовательский Томский политехнический университет Школа базовой инженерной подготовки Отделение математики и информатики
Daljnji autori: Masterova M. A. Mariya Alexandrovna
Sažetak: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
Izdano: 2021
Teme:
электронный ресурс
труды учёных ТПУ
conformal mechanics
coupling-constant metamorphosis
schwarzian derivative
Online pristup:https://doi.org/10.1016/j.geomphys.2021.104320
Format: Elektronički Poglavlje knjige
KOHA link:https://koha.lib.tpu.ru/cgi-bin/koha/opac-detail.pl?biblionumber=668526
Opis
Sažetak: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
Digitalni identifikator objekta:10.1016/j.geomphys.2021.104320

Slični predmeti