Integrable models of statistical mechanics play a prominent role in modern mathematical
physics, especially in conformal field theory, knot theory, combinatorics, topology, etc. In this …

The Gauge/YBE correspondence states a surprising connection between solutions to the
Yang–Baxter equation with spectral parameters and partition functions of supersymmetric …

In this paper, we aim to study the three-dimensional N= 2 supersymmetric dual gauge
theories on S b 3/Z r in the context of the gauge/YBE correspondence. We consider …

A bstract We study Bailey pairs construction for hyperbolic hypergeometric integral identities
acquired via the duality of lens partitions functions for the three-dimensional\(\mathcal {N}\) …

We construct the hyperbolic and trigonometric solutions to the star-star relation via the
gauge/YBE correspondence by using the three-dimensional lens partition function and …

We study lens partitions functions for the three-dimensional $ N= 2$ supersymmetric gauge
theories on $ S_b^ 3/Zr $. We consider an equality as a new hyperbolic hypergeometric …

We prove a pair of transformation formulas for multivariate elliptic hypergeometric
sum/integrals associated to the $ A_n $ and $ BC_n $ root systems, generalising the …

We study duality transformations of the star–square relation and the generalized star–
triangle relation for Ising-like lattice spin models. The lattice spin models are obtained via …

We study properties of a parafermionic generalization of the hyperbolic hypergeometric
function appearing as the most important part in the fusion matrix for Liouville field theory …

Recently, there has been observed an interesting correspondence between supersymmetric
quiver gauge theories with four supercharges and integrable lattice models of statistical …