  Integrable models of statistical mechanics play a prominent role in modern
mathematical physics, especially in conformal field theory, knot theory,
combinatorics, topology, etc. In this brief review, we discuss a program of
constructing integrable lattice spin models with the nearest neighbor
interaction using methods inspired by the supersymmetric gauge theory
computations, called gauge/YBE correspondence. After a brief introduction to
the topic, we review some recent examples of this correspondence and the role
of special functions and symmetries. Finally, we discuss future directions of
research.
