Abstract:
We study integrable cutoff constraints for a semidiscrete Toda lattice. We construct a Lax representation for a semidiscrete analogue of lattices corresponding to simple Lie algebras of the $C$ series. We introduce nonlocal variables in terms of which the symmetries of the infinite semidiscrete lattice can be expressed, and we classify cutoff constraints of a certain form compatible with the symmetries of the infinite lattice.
Keywords:semidiscrete Toda lattice, Lax representation, symmetry,
integrable cutoff constraint.
Fulltext:
PDF file (481 kB)