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.

中文翻译：

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作为对偶的可积性：Gauge/YBE 对应

Gauge/YBE 对应关系表明，Yang-Baxter 方程的解与超对称颤动规范理论的谱参数和配分函数之间存在惊人的联系。这种对应导致了基于量子场论方法的新可积模型的系统发现。我们对该主题进行了教学介绍，并总结了许多最近的发展。这是 String-Math 2018 会议上的演讲稿。