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Decorating the gauge/YBE correspondence
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abstract
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.
Forward citations
Cited by 2 Pith papers
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Integrable systems: From the ice rule to supersymmetric fishnet Feynman diagrams
A dissertation extends the integrability correspondence between lattice models and fishnet Feynman graphs to fermionic, supersymmetric, and boundary cases, yielding new exact critical couplings and a conjectured box p...
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Flipping relation as a reduced star-star relation
A specific limit of the star-star relation produces the flipping relation, and new flipping solutions are given in several gamma-function families.
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