Progress in integrable models of statistical mechanics inspired by supersymmetric gauge theories

Ilmar Gahramanov

IHES

Mon, Sep. 24th 2018, 11:00

Salle Claude Itzykson, Bât. 774, Orme des Merisiers

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 supercharge on different manifolds can be identified with partition functions of two-dimensional exactly solvable statistical models. This relationship has led to the construction of new exactly solvable models of statistical mechanics, namely the Yang-Baxter equation was solved in terms of new special functions. In the talk, I will review this progress and present some new solutions of the Yang-Baxter equation.

Contact : Vincent
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