Poisson–Lie T-plurality as canonical transformation Original Research Article

We generalize the prescription realizing classical Poisson–Lie T-duality as canonical transformation to Poisson–Lie T-plurality. The key ingredient is the transformation of left-invariant fields under Poisson–Lie T-plurality. Explicit formulae realizing canonical transformation are presented and the preservation of canonical Poisson brackets and Hamiltonian density is shown.