Lagrangian Multiform for Cyclotomic Gaudin Models

We construct a Lagrangian multiform for the class of cyclotomic (rational) Gaudin models by formulating its hierarchy within the Lie dialgebra framework of Semenov-Tian-Shansky and by using the framework of Lagrangian multiforms on coadjoint orbits. This provides the first example of a Lagrangian mu...

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Published in:Symmetry, Integrability and Geometry: Methods and Applications
Date:2024
Main Authors: Caudrelier, Vincent, Singh, Anup Anand, Vicedo, Benoît
Format: Article
Language:English
Published: Інститут математики НАН України 2024
Online Access:https://nasplib.isofts.kiev.ua/handle/123456789/212644
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Journal Title:Digital Library of Periodicals of National Academy of Sciences of Ukraine
Cite this:Lagrangian Multiform for Cyclotomic Gaudin Models. Vincent Caudrelier, Anup Anand Singh and Benoît Vicedo. SIGMA 20 (2024), 100, 30 pages

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Digital Library of Periodicals of National Academy of Sciences of Ukraine