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 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 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 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 …

We consider two recent solutions of the generalized Faddeev–Volkov model, which is an
exactly solvable Ising-type lattice spin model. The first solution is obtained by using the …

A bstract Inspired by the gauge/YBE correspondence this paper derives some star-triangle
type relations from dualities in 2d\(\mathcal {N}\)=(0, 2) USp (2N) supersymmetric quiver …

arXiv:2212.06110v1 [hep-th] 12 Dec 2022 Page 1 arXiv:2212.06110v1 [hep-th] 12 Dec 2022
Notes on the lens integral pentagon identity H. Kubra Baga, Osman Ergeca, and Ilmar …