Symmetry-resolved entanglement in AdS3/CFT2 coupled to U(1) Chern-Simons theory
Symmetry-resolved entanglement in AdS3/CFT2 coupled to U(1) Chern-Simons theory
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AdS3/CFT2 中对称解纠缠与 U(1) Chern-Simons 理论的耦合
DOI：
10.1007/jhep07(2021)030
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发表时间：
2020
影响因子：
5.4
通讯作者：
R. Meyer
中科院分区：
文献类型：
--
作者：
Suting Zhao;C. Northe;R. Meyer
我们考虑了与U(1)Chern-Simons理论耦合的ADS3/CFT2中的对称分辨纠缠熵。我们将二维共形场论中荷电矩的全息对偶识别为ADS3整体中的带电威尔逊线，即与U(1)Chern-Simons规范场最小耦合的Ryu-Takayanagi测地线。我们将威尔逊线周围的完整系统定义为Aharonov-Bohm相，在二维场论中，Aharonov-Bohm相是由插入在纠缠区间端点处的带电U(1)顶点算符产生的。此外，我们还设计了一种新的方法来计算对称分辨纠缠熵，方法是将荷电矩的母函数与纠缠区内的电荷量联系起来。我们计算了由体威尔逊线源的U(1)Chern-Simons规范场的子区电荷。我们用我们的方法推导了Poincaré面片和整体ADS3的对称分辨纠缠熵，以及锥形缺陷几何的对称分辨纠缠熵。在这三种情况下，对称分辨纠缠熵都由Ryu-Takayanagi测地线的长度和Chern-Simons能级k决定，并且满足纠缠的均分。体论的渐近对称代数为û1k\DocumentClass[12pt]{Minimum}\Usepackage{amsath}\usepackage{amsFonts}\usepackage{amssymb}\usepackage{amsbsy}\usepackage{mathsfs}\usepackage{upgreek}\setlong{\oddsidemargin}{-69pt}\{Begin Document}$\HAT{\mathfrak{u}{(1)}_k$$\end{Document}Kac-Moody类型。利用û1k\DocumentClass[12pt]{Minimum}\usepackage{amsath}\usepackage{amsFonts}\usepackage{amssymb}\usepackage{amsbsy}\usepackage{matrsfs}\usepackage{upgreek}\setlong{\oddsidemargin}{-69pt}\Begin{Document}$$\hat{mathfrak{u}}{(1)}_k$\end{Document}Kac-Moody，通过对偶共形场理论的计算，证实了我们的全息结果。
We consider symmetry-resolved entanglement entropy in AdS3/CFT2 coupled to U(1) Chern-Simons theory. We identify the holographic dual of the charged moments in the two-dimensional conformal field theory as a charged Wilson line in the bulk of AdS3, namely the Ryu-Takayanagi geodesic minimally coupled to the U(1) Chern-Simons gauge field. We identify the holonomy around the Wilson line as the Aharonov-Bohm phases which, in the two-dimensional field theory, are generated by charged U(1) vertex operators inserted at the endpoints of the entangling interval. Furthermore, we devise a new method to calculate the symmetry resolved entanglement entropy by relating the generating function for the charged moments to the amount of charge in the entangling subregion. We calculate the subregion charge from the U(1) Chern-Simons gauge field sourced by the bulk Wilson line. We use our method to derive the symmetry-resolved entanglement entropy for Poincaré patch and global AdS3, as well as for the conical defect geometries. In all three cases, the symmetry resolved entanglement entropy is determined by the length of the Ryu-Takayanagi geodesic and the Chern-Simons level k, and fulfills equipartition of entanglement. The asymptotic symmetry algebra of the bulk theory is of û1k\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$ \hat{\mathfrak{u}}{(1)}_k $$\end{document} Kac-Moody type. Employing the û1k\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$ \hat{\mathfrak{u}}{(1)}_k $$\end{document} Kac-Moody symmetry, we confirm our holographic results by a calculation in the dual conformal field theory.
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影响因子：
2.9
作者：
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通讯作者：
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