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Linking Entanglement and Discrete Anomaly
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Linking Entanglement and Discrete Anomaly
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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.
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Cited by 1 Pith paper
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Analyzing reduced density matrices in SU(2) Chern-Simons theory
For p-party pure states from T_{p,p} torus link complements in SU(2)_k Chern-Simons theory, the characteristic polynomials of (1|p-1)-reduced density matrices are monic polynomials with rational coefficients.
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