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arxiv: 1904.06924 · v1 · pith:RFUHYSEEnew · submitted 2019-04-15 · ✦ hep-th · cond-mat.stat-mech· cond-mat.str-el· quant-ph

3d One-form Mixed Anomaly and Entanglement Entropy

Yang Zhou This is my paper
classification ✦ hep-th cond-mat.stat-mechcond-mat.str-elquant-ph
keywords anomalyentanglementmixedentropyone-formsymmetrytimesassign
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We study mixed anomaly between $G_1$ and $G_2$ of one-form finite symmetry $G_1\times G_2$ in $3d$ Chern-Simons theories. We assign a quantum entanglement structure to two linked $G$-symmetry lines (Wilson loops) and compute the entanglement entropy $S[G]$. We find a measure of the mixed anomaly by computing $S[G_1\times G_2]-S[G_1]-S[G_2]$.

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