Hamiltonian multiform description of an integrable hierarchy

@article{Caudrelier2020HamiltonianMD,
  title={Hamiltonian multiform description of an integrable hierarchy},
  author={Vincent Caudrelier and Matteo Stoppato},
  journal={arXiv: Mathematical Physics},
  year={2020}
}
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 formalism for integrable field theories, we propose the notion of Hamiltonian multiforms for integrable $1+1$-dimensional field theories. They provide the Hamiltonian counterpart of Lagrangian multiforms and encapsulate in a single object an arbitrary number of flows within an integrable hierarchy. For a given hierarchy… 
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