标题： 陈-西蒙斯理论在自旋链上的编码 显示英文标题

标题： Chern-Simons theory encoded on a spin chain

摘要： 我们展示如何在$S^{3}$上再现$U(N)$陈-西蒙斯理论的可观测量，这可以通过一维 XX 型自旋链的热关联函数来实现，该模型具有由无限多个邻居之间指数衰减相互作用所表征的适当扩展。 我们证明对于这个模型，有限温度$\beta =1$下自旋链的关联函数给出配分函数、量子维度和$S$-矩阵。 显示英文摘要

摘要： We show how the observables of $U(N)$ Chern-Simons theory on $S^{3}$ can be reproduced with the thermal correlation functions of a 1d spin chain of the XX type, with a suitable extension characterized by exponentially decaying interactions between infinitely many neighbours. We show that for this model, the correlation functions of the spin chain at a finite temperature $\beta =1$ give the partition function, quantum dimensions and the $S$-matrix.