Kramers--Wannier duality exchanges order variables with domain-wall or disorder variables. In multiple dimensions it naturally appears as a tensor-network map with a nontrivial symmetry-sector kernel.
For a one-dimensional periodic spin chain, a Kramers--Wannier intertwiner maps vertex spins in the basis to edge domain walls. It obeys and and identifies spin configurations related by the global symmetry.
Articles by others on the same topic
Kramers–Wannier duality is a concept from statistical mechanics and condensed matter physics that describes a relationship between two statistical systems, particularly in the context of lattice models. It was originally discovered in the context of the two-dimensional Ising model, but it applies more broadly to other statistical systems as well.