Schwarzian mechanics via nonlinear realizations

Anton Galajinsky

Результат исследований: Материалы для журнала › Статья

Выдержка

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) [5] is built and its geometric description in terms of 4d metric of the ultrahyperbolic signature is given.

Язык оригиналаАнглийский
Страницы (с-по)277-280
Число страниц4
ЖурналPhysics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics
Том795
DOI
СостояниеОпубликовано - 10 авг 2019

Отпечаток

invariance
signatures
formulations

ASJC Scopus subject areas

  • Nuclear and High Energy Physics

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Schwarzian mechanics via nonlinear realizations. / Galajinsky, Anton.

В: Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics, Том 795, 10.08.2019, стр. 277-280.

Результат исследований: Материалы для журнала › Статья

Galajinsky, A 2019, 'Schwarzian mechanics via nonlinear realizations', Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics, том. 795, стр. 277-280. https://doi.org/10.1016/j.physletb.2019.05.054
Galajinsky A. Schwarzian mechanics via nonlinear realizations. Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics. 2019 Авг. 10;795:277-280. https://doi.org/10.1016/j.physletb.2019.05.054
Galajinsky, Anton. / Schwarzian mechanics via nonlinear realizations. В: Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics. 2019 ; Том 795. стр. 277-280.
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