3 years ago

Linking Entanglement and Discrete Anomaly.

Ling-Yan Hung, Yong-Shi Wu, Yang Zhou

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.

Publisher URL: http://arxiv.org/abs/1801.04538

DOI: arXiv:1801.04538v1

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