Topological pseudo entropy
Topological pseudo entropy
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DOI：
10.1007/jhep09(2021)015
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发表时间：
2021-07
影响因子：
5.4
通讯作者：
T. Nishioka;T. Takayanagi;Yusuke Taki
中科院分区：
文献类型：
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作者：
T. Nishioka;T. Takayanagi;Yusuke Taki
我们引入了拓扑纠缠熵的一种伪熵扩展，称为拓扑伪熵。各种例子的拓扑赝熵检查在三维陈-西蒙斯规范理论与威尔逊圈插入。具有纽结威尔逊环的配分函数与拓扑伪（雷尼）熵直接相关。我们还表明，在一定的设置中的伪熵是等效的二维共形场理论（CFTs）的界面熵，并利用等价性来计算在特定的例子中的伪熵。此外，我们定义了二维边界CFTs中左右纠缠熵的伪熵扩展，并导出了任意边界态对的普适公式。作为一个副产品，我们发现，拓扑接口熵的合理CFTs的贡献相同的拓扑纠缠熵的环面。
We introduce a pseudo entropy extension of topological entanglement entropy called topological pseudo entropy. Various examples of the topological pseudo entropies are examined in three-dimensional Chern-Simons gauge theory with Wilson loop insertions. Partition functions with knotted Wilson loops are directly related to topological pseudo (Rényi) entropies. We also show that the pseudo entropy in a certain setup is equivalent to the interface entropy in two-dimensional conformal field theories (CFTs), and leverage the equivalence to calculate the pseudo entropies in particular examples. Furthermore, we define a pseudo entropy extension of the left-right entanglement entropy in two-dimensional boundary CFTs and derive a universal formula for a pair of arbitrary boundary states. As a byproduct, we find that the topological interface entropy for rational CFTs has a contribution identical to the topological entanglement entropy on a torus.