Abstract
We study Bailey pairs construction for hyperbolic hypergeometric integral identities acquired via the duality of lens partitions functions for the three-dimensional \( \mathcal{N} \) = 2 supersymmetric gauge theories on \( {S}_b^3/{\mathbb{Z}}_r \). The novel Bailey pairs are constructed for the star-triangle relation, the star-star relation, and the pentagon identity. The first two of them are integrability conditions for the Ising-type integrable lattice models. The last one corresponds to the representation of the basic 2 − 3 Pachner move for triangulated 3-manifolds.
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Gahramanov, I., Keskin, B., Kosva, D. et al. On Bailey pairs for \( \mathcal{N} \) = 2 supersymmetric gauge theories on \( {S}_b^3/{\mathbb{Z}}_r \). J. High Energ. Phys. 2023, 169 (2023). https://doi.org/10.1007/JHEP03(2023)169
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DOI: https://doi.org/10.1007/JHEP03(2023)169