3 papers
hep-th2020
On the Zakharov-Mikhailov action: d Chern-Simons origin and covariant Poisson algebra of the Lax connection
Vincent Caudrelier, Matteo Stoppato, Benoit Vicedo
We derive the d Zakharov-Mikhailov action from d Chern-Simons theory. This d action is known to produce as equations of motion the flatness condition of a large class of L…
math-ph2020
Hamiltonian multiform description of an integrable hierarchy
Vincent Caudrelier, Matteo Stoppato
Motivated by the notion of Lagrangian multiforms, which provide a Lagrangian formulation of integrability, and by results of the authors on the role of covariant Hamiltonian formal…
math-ph2019
A connection between the classical r-matrix formalism and covariant Hamiltonian field theory
Vincent Caudrelier, Matteo Stoppato
We bring together aspects of covariant Hamiltonian field theory and of classical integrable field theories in dimensions. Specifically, our main result is to obtain for the f…