Integrability As Duality: The Gauge/YBE Correspondence
arXiv:1808.04374
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.
37 pages, 18 figures, review article; v2: version to appear in Phys. Rept
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