13 citations · 22 across the 5 of their papers we have counts for
4 papers · 1 filter
Lie dialgebras, gauge theory, and Lagrangian multiforms for integrable models
Anup Anand Singh
Lagrangian multiforms provide a variational framework for describing integrable hierarchies. This thesis presents two approaches for systematically constructing Lagrangian one-form…
The 3d mixed BF Lagrangian 1-form: a variational formulation of Hitchin's integrable system
Vincent Caudrelier, Derek Harland, Anup Anand Singh +1
We introduce the concept of gauged Lagrangian -forms, extending the notion of Lagrangian -forms to the setting of gauge theories. This general formalism is applied to a natur…
Lagrangian Multiform for Cyclotomic Gaudin Models
Vincent Caudrelier, Anup Anand Singh, Benoît Vicedo
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…
Lagrangian multiforms on coadjoint orbits for finite-dimensional integrable systems
Vincent Caudrelier, Marta Dell'Atti, Anup Anand Singh
Lagrangian multiforms provide a variational framework to describe integrable hierarchies. The case of Lagrangian -forms covers finite-dimensional integrable systems. We use the…