陈-西蒙斯理论

陈-西蒙斯理论（Chern–Simons theory）以陈省身和詹姆斯·哈里斯·西蒙斯的名字命名，描述三维拓扑量子场论，在物理学有很多应用。此理论用陈-西蒙斯形式。
陈省身
陈-西蒙斯理论描述分数量子霍尔效应，导致2016年的物理诺贝尔奖。

**经典公式**
若（G，M）是主丛，M是流形，G是李群 / 规范群，A是联络，陈西蒙斯作用量是

F是曲率：

陈西蒙斯公式用最小作用量原理：


**陈-西蒙斯理论和纽结多项式**
三维的陈-西蒙斯理论生成很多重要的纽结多项式和纽结不变量：

**拓扑量子计算机**
是一种量子计算机。陈西蒙斯理论陈述有些Topological quantum computer的模型，例如“杨李模型”（Fibonacci model），这是最简单的非阿贝尔任意子Topological quantum computer之一。

**参见**
 陈-西蒙斯理论是最有名的拓扑量子场论之一
*拓扑量子场论
*Wess-Zumino-Witten模型
*纽结理论

**参考文献**

**阅读**
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