Dual variables and conserved currents

This chapter studies the connection between an infinite set of symmetries and Kramers-Wannier dual transformations. Gives proof for the existence of hidden symmetry in the three Euclidean dimensional functional formulation of Yang-Mills theory. Discusses the similarity of this path dependent formalism with the 't Hooft order-disorder dual parameters. Identifies a simple model, the one dimensional XYZ spin chain, which has both an infinite set of quantum conserved charges and a Kramers-Wannier like transformation. Describes the concept of a relationship between Kramers-Wannier dual transformations and hidden symmetries