Dimers for Type D Relativistic Toda Model

Abstract

We construct dimer graphs for type D relativistic Toda models by introducing impurities to the $Y^{2N,0}$ square dimer graphs. By properly placing the impurities and change of canonical variables assigned to the 1-loops on the dimer graph, we introduce the "folding" of the graphs and get the type D relativistic Toda lattice Hamiltonian and monodromy matrix.

25+6 pages, 14 figures, add citation

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Cited by in corpus (3)

• Defects and type D relativistic Toda lattice for some 5d gauge theories
• Birational Transformations on Dimer Integrable Systems
• Classification and Birational Equivalence of Dimer Integrable Systems for Reflexive Polygons