Decorating the gauge/YBE correspondence

2024/03/21 by Erdal Catak, Catak, Erdal, Mustafa Mullahasanoğlu +1 · 5 citations
Computer Science · Physics and Astronomy · #Computational Physics and Python Applications #Exactly Solvable and Integrable Systems (nlin.SI) #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Mathematical Physics (math-ph) #Particle physics theoretical and experimental studies

paper · pdf · doi:10.48550/arxiv.2403.14485

openalex publication_date 2024/03/21 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this paper, we aim to study the three-dimensional \mathcal N=2 supersymmetric dual gauge theories on S_b³/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.

Cited by

• Lens Hyperbolic Modular Double
• From dual gauge theories to dual spin models
• Bailey chain approach to 2d N=(0,2) dualities
• More solutions to the decoration transformation
• Flipping relation as a reduced star-star relation

Related

• Lens Partition Functions and Integrability Properties
• More solutions to the decoration transformation
• The star-square relation and the generalized star-triangle relation from 3d supersymmetric dualities I
• From dual gauge theories to dual spin models
• Integrability from supersymmetric duality: a short review