Linking entanglement and discrete anomaly
Linking entanglement and discrete anomaly
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DOI：
10.1007/jhep05(2018)008
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发表时间：
2018-01
影响因子：
5.4
通讯作者：
Ling-Yan Hung;Yong-Shi Wu;Yang Zhou
中科院分区：
文献类型：
--
作者：
Ling-Yan Hung;Yong-Shi Wu;Yang Zhou
在3d Chern-Simons理论中，存在一个离散的单形对称，其对称群同构于规范群的中心。我们研究了在具有一般规范群A、B、C、D-型的理论中与这种离散的单形对称性有关的特胡夫特反常。我们提出通过计算对称生成子空间中的Hopf态纠缠来检测离散异常，并发展了一种基于截断模S矩阵的系统方法。我们检查了我们的建议很多例子。
In 3d Chern-Simons theory, there is a discrete one-form symmetry, whose symmetry group is isomorphic to the center of the gauge group. We study the ‘t Hooft anomaly associated to this discrete one-form symmetry in theories with generic gauge groups, A, B, C, D-types. We propose to detect the discrete anomaly by computing the Hopf state entanglement in the subspace spanned by the symmetry generators and develop a systematical way based on the truncated modular S matrix. We check our proposal for many examples.