Dimers for Relativistic Toda Models with Reflective Boundaries

Abstract: We construct dimer graph for relativistic Toda chain associated with classical untwisted Lie algebra of A, B, C$<em>0$, C$</em>\pi$, D types and twisted A, D types. We show that the Seiberg-Witten curve of 5d $\CalN=1$ pure supersymmetric gauge theory of gauge group $G$ is a spectral curve of the relativistic Toda chain of the dual group $G<sup>\vee$.