Dimers for type D relativistic Toda model

Abstract

We construct dimer graphs for type D relativistic Toda models by introducing impurities into the Y2N,0 square dimer graphs. By properly placing the impurities and changing the canonical variables assigned to the 1-loops on the dimer graph, we perform a “folding” of the graphs, which yields the type D relativistic Toda lattice Hamiltonian and monodromy matrix. © The Author(s) 2024.