Generalized Schwarzian mechanics

A coordinate transformation is proposed which allows one to construct new variants of Schwarzian mechanics from the SL(2,R)-invariant models in the work by Baranovsky (2017) [10]. A two-parametric particular solution to the equations of motion is given. The Hamiltonian formulation is constructed.

Bibliographic Details
Main Authors: Sergei Filyukov, Ivan Masterov
Format: Article
Language:English
Published: Elsevier 2021-03-01
Series:Nuclear Physics B
Online Access:http://www.sciencedirect.com/science/article/pii/S0550321321000134
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author Sergei Filyukov
Ivan Masterov
author_facet Sergei Filyukov
Ivan Masterov
author_sort Sergei Filyukov
collection DOAJ
description A coordinate transformation is proposed which allows one to construct new variants of Schwarzian mechanics from the SL(2,R)-invariant models in the work by Baranovsky (2017) [10]. A two-parametric particular solution to the equations of motion is given. The Hamiltonian formulation is constructed.
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spelling doaj.art-4933a33240fc4eae9c8c2a83951730772022-12-21T22:44:19ZengElsevierNuclear Physics B0550-32132021-03-01964115316Generalized Schwarzian mechanicsSergei Filyukov0Ivan Masterov1Tomsk State University of Control Systems and Radioelectronics, 634050, Tomsk, Lenin Ave. 40, RussiaCorresponding author.; Tomsk State University of Control Systems and Radioelectronics, 634050, Tomsk, Lenin Ave. 40, RussiaA coordinate transformation is proposed which allows one to construct new variants of Schwarzian mechanics from the SL(2,R)-invariant models in the work by Baranovsky (2017) [10]. A two-parametric particular solution to the equations of motion is given. The Hamiltonian formulation is constructed.http://www.sciencedirect.com/science/article/pii/S0550321321000134
spellingShingle Sergei Filyukov
Ivan Masterov
Generalized Schwarzian mechanics
Nuclear Physics B
title Generalized Schwarzian mechanics
title_full Generalized Schwarzian mechanics
title_fullStr Generalized Schwarzian mechanics
title_full_unstemmed Generalized Schwarzian mechanics
title_short Generalized Schwarzian mechanics
title_sort generalized schwarzian mechanics
url http://www.sciencedirect.com/science/article/pii/S0550321321000134
work_keys_str_mv AT sergeifilyukov generalizedschwarzianmechanics
AT ivanmasterov generalizedschwarzianmechanics