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Decorating the gauge/YBE correspondence

Published 21 Mar 2024 in hep-th, math-ph, math.MP, and nlin.SI | (2403.14485v1)

Abstract: In this paper, we aim to study the three-dimensional N=2\mathcal N=2 supersymmetric dual gauge theories on Sb<sup>3/ZrS_b<sup>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.

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