From dual gauge theories to dual spin models

2025/10/30 by Mullahasanoglu, Mustafa · 1 citation
#Exactly Solvable and Integrable Systems (nlin.SI) #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Statistical Mechanics (cond-mat.stat-mech)

paper · doi:10.48550/arxiv.2510.26535

Abstract

This brief review surveys recent progress driven by the gauge/Yang-Baxter equation (YBE) correspondence. This connection has proven to be a powerful tool for discovering novel integrable lattice spin models in statistical mechanics by exploiting dualities in supersymmetric gauge theories. In recent years, research has demonstrated the use of dual gauge theories to construct new lattice spin models that are dual to Ising-like models.

Citations

• More solutions to the decoration transformation
• Flipping relation as a reduced star-star relation
• Ising 100: review of solutions
• Ordinary limits of the hyperbolic hypergeometric integral identities
• Decorating the gauge/YBE correspondence
• The star-square relation and the generalized star-triangle relation from 3d supersymmetric dualities I
• A remark on the q-hypergeometric integral Bailey pair and the solution to the star-triangle equation
• Lens Partition Functions and Integrability Properties
• Gamma function solutions to the star-triangle equation
• Integrability As Duality: The Gauge/YBE Correspondence

Cited by

• Lens Hyperbolic Modular Double

Related

• Integrability from supersymmetric duality: a short review
• An introduction to lattice gauge theory and spin systems
• Integrability As Duality: The Gauge/YBE Correspondence
• The star-square relation and the generalized star-triangle relation from 3d supersymmetric dualities I
• Decorating the gauge/YBE correspondence