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Integrability As Duality: The Gauge/YBE Correspondence

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abstract

The Gauge/YBE correspondence states a surprising connection between solutions to the Yang-Baxter equation with spectral parameters and partition functions of supersymmetric quiver gauge theories. This correspondence has lead to systematic discoveries of new integrable models based on quantum-field-theory methods. We provide pedagogical introduction to the subject and summarizes many recent developments. This is a write-up of the lecture at the String-Math 2018 conference.

fields

hep-th 1

years

2025 1

verdicts

CONDITIONAL 1

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Flipping relation as a reduced star-star relation

hep-th · 2025-08-27 · conditional · novelty 5.0

A specific limit of the star-star relation produces the flipping relation, and new flipping solutions are given in several gamma-function families.

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  • Flipping relation as a reduced star-star relation hep-th · 2025-08-27 · conditional · none · ref 5 · internal anchor

    A specific limit of the star-star relation produces the flipping relation, and new flipping solutions are given in several gamma-function families.