Integrability as duality: The Gauge/YBE correspondence

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.