Progress in integrable statistical models inspired by supersymmetric gauge theories

OKC/Nordita High-Energy Physics Theory seminar

Thursday 13 April 2017
from 13:15
to 14:15 at
132:028

Speaker :

Ilmar Gahramanov (AEI Potsdam)

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 present some new solutions of the Yang-Baxter equation and related basic and hyperbolic hypergeometric integral identities.