Variational principle for discrete 2d integrable systems
Seminar Room 1, Newton Institute
AbstractFor multidimensionally consistent systems we can consider the Lagrangian as a form, closed on the multidimensional equations of motion. For 2-d systems this allows us to define an action on a surface embedded in higher dimensions. It is then natural to propose that the system should be derived from a variational principle which includes not only variations with respect to the dependent variables, but also variations of the surface in the space of independent variables. I will describe how this puts constraints on the Lagrangian, and how this leads to equations on a single quad in the lattice.
If it doesn't, something may have gone wrong with our embedded player.
We'll get it fixed as soon as possible.