标题： 装饰规范/YBE对应关系 显示英文标题

标题： Decorating the gauge/YBE correspondence

摘要： 本文旨在研究三维$\mathcal N=2$超对称规范对偶规范理论在$S_b^3/\mathbb{Z}_r$上的性质，这是基于规范/YBE对应关系的背景下进行的。 我们考虑通过超对称透镜划分函数的等式所获得的双曲超几何积分恒等式，作为统计力学中装饰变换和翻转关系的解。 这些变换的解旨在探讨各种具有可积伊辛型模型的Boltzmann权重的装饰晶格模型，这些模型是通过规范/YBE对应关系得到的。 我们还构建了装饰变换和翻转关系的Bailey对。 显示英文摘要

摘要： In this paper, we aim to study the three-dimensional $\mathcal N=2$ supersymmetric dual gauge theories on $S_b^3/\mathbb{Z}_r$ in the context of the gauge/YBE correspondence. We consider hyperbolic hypergeometric integral identities acquired via the equality of supersymmetric lens partition functions as solutions to the decoration transformation and the flipping relation in statistical mechanics. The solutions of those transformations aim at investigating various decorated lattice models possessing the Boltzmann weights of integrable Ising-like models obtained via the gauge/YBE correspondence. We also constructed The Bailey pairs for the decoration transformation and the flipping relation.