Status | Confirmed |
Seminar Series | IPHT-PHM |
Subjects | math-ph |
Date | Monday 24 September 2018 |
Time | 11:00 |
Institute | IPHT |
Seminar Room | Salle Claude Itzykson, Bât. 774 |
Speaker's Last Name | Ilmar Gahramanov |
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Speaker's Institution | IHES |
Title | Progress in integrable models of statistical mechanics inspired by supersymmetric gauge theories |
Abstract | 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. |
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