  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.
