https://doi.org/10.1140/epjc/s10052-024-13347-8
Regular Article - Theoretical Physics
Decorating the gauge/YBE correspondence
1
Department of Physics, Istanbul University, 34134, Istanbul, Türkiye
2
Department of Physics, Bogazici University, Bebek, 34342, Istanbul, Türkiye
3
Feza Gursey Center for Physics and Mathematics, Bogazici University, Kandilli, 34684, Istanbul, Türkiye
b
mustafa.mullahasanoglu@std.bogazici.edu.tr
Received:
26
June
2024
Accepted:
5
September
2024
Published online:
27
September
2024
In this paper, we aim to study the three-dimensional 
supersymmetric dual gauge theories on 
in the context of the gauge/YBE correspondence. We consider hyperbolic 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.
© The Author(s) 2024
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