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arXiv 2008.07950hep-thcond-mat.str-el
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Chern-Simons理论中的拓扑反射熵

Topological reflected entropy in Chern-Simons theories

Clément Berthiere, Hongjie Chen, Yuefeng Liu, Bin Chen

备注：
15+7 pages, 10 figures; v2: References added and typos corrected, matches published version
发表信息：
Phys. Rev. B 103, 035149 (2021)
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摘要：

研究了$(2+1)$维Chern-Simons理论中两个空间区域之间的反射熵。利用其复制技巧公式，使用边缘理论方法和手术方法计算反射熵。两种方法产生相同的结果。在本文考虑的所有情况下，我们发现反射熵与互信息一致，尽管它们的Rényi版本一般不同。我们还用边缘理论方法计算了奇熵。反射熵和奇熵都具有一个简单的全息双重解释的纠缠楔截面。我们表明，在$(2+1)$维陈-西蒙斯理论，这两个量相关的二维全息共形场论（CFTs），以类似的方式，一个经典的香农片。

英文摘要：

We study the reflected entropy between two spatial regions in $(2+1)$-dimensional Chern-Simons theories. Taking advantage of its replica trick formulation, the reflected entropy is computed using the edge theory approach and the surgery method. Both approaches yield identical results. In all cases considered in this paper, we find that the reflected entropy coincides with the mutual information, even though their Rényi versions differ in general. We also compute the odd entropy with the edge theory method. The reflected entropy and the odd entropy both possess a simple holographic dual interpretation in terms of entanglement wedge cross-section. We show that in $(2+1)$-dimensional Chern-Simons theories, both quantities are related in a similar manner as in two-dimensional holographic conformal field theories (CFTs), up to a classical Shannon piece.

机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。

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