Work

Linking entanglement and discrete anomaly

Year: 2018
Type: article
Abstract: 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.
Authors: Ling-Yan Hung, Yong-Shi Wu, Yang Zhou
Language: English
Open Access status: diamond
OpenAlex ID: W2783941677
FWCI: 1.375
Cites: 23
Cited by: 14
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