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 …

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 The aim of the present paper is to consider the hyperbolic limit of an elliptic
hypergeometric sum/integral identity, and associated lattice model of statistical mechanics …

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

A bstract We explore 1d vortex dynamics of 3d supersymmetric Yang-Mills theories, as
inferred from factorization of exact partition functions. Under Seiberg-like dualities, the 3d …

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 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 …

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

We study the three-dimensional lens partition function for N= 2 supersymmetric gauge dual
theories on S 3/Z r by using the gauge/Yang-Baxter equation correspondence. This …