Decorating the gauge/YBE correspondence

Erdal Catak; Mustafa Mullahasanoglu

doi:10.1140/epjc/s10052-024-13347-8

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2024 Impact factor 4.8

Particles and Fields

Open Access

Eur. Phys. J. C (2024) 84: 962
https://doi.org/10.1140/epjc/s10052-024-13347-8

Regular Article - Theoretical Physics

Decorating the gauge/YBE correspondence

Erdal Catak¹ and Mustafa Mullahasanoglu²^,3^b

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

Abstract

In this paper, we aim to study the three-dimensional $N = 2$ ${\mathcal {N}}=2$ supersymmetric dual gauge theories on $S_{b}^{3} / Z_{r}$ $S_b^3/\mathbb {Z}_r$ 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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