Аннотация:
Recently, there has been observed several connections of integrable
models to supersymmetric gauge theories and special functions of
hypergeometric type. One of such connections is a correspondence between
supersymmetric quiver gauge theories and integrable lattice models such
that the integrability emerges as a manifestation of supersymmetric
dualities. Particularly, partition functions of supersymmetric quiver
gauge theories with four supercharges on different manifolds can be
identified with partition functions of two-dimensional exactly solvable
statistical models. This relationship has led to construction of new
exactly solvable models of statistical mechanics, namely the Yang-Baxter
equation was solved in terms of new special functions. The aim of the
talk is to give a short account on progress in integrable lattice models
which has been made due to the relationship with supersymmetric quiver
gauge theories.
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