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Seminar of the Department of Theoretical Physics, Steklov Mathematical Institute of RAS
March 16, 2017 14:30, Moscow, Steklov Mathematical Institute of RAS, Room 404 (8 Gubkina)
 


Integrable lattice spin models from supersymmetric gauge theories

I. B. Gahramanov

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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 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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