

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 twodimensional exactly solvable
statistical models. This relationship has led to construction of new
exactly solvable models of statistical mechanics, namely the YangBaxter
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.

