3 papers
math-ph2026
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…
math-ph2025
On the geometry of Lagrangian one-forms
Vincent Caudrelier, Derek Harland
Lagrangian multiform theory is a variational framework for integrable systems. In this article we introduce a new formulation which is based on symplectic geometry and which treats…
nlin.PS2024
Hamiltonian formulation and aspects of integrability of generalised hydrodynamics
Thibault Bonnemain, Vincent Caudrelier, Benjamin Doyon
Generalised Hydrodynamics (GHD) describes the large-scale inhomogeneous dynamics of integrable (or close to integrable) systems in one dimension of space, based on a central equati…