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3d One-form Mixed Anomaly and Entanglement Entropy

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arxiv 1904.06924 v1 pith:RFUHYSEE submitted 2019-04-15 hep-th cond-mat.stat-mechcond-mat.str-elquant-ph

3d One-form Mixed Anomaly and Entanglement Entropy

classification hep-th cond-mat.stat-mechcond-mat.str-elquant-ph
keywords anomalyentanglementmixedentropyone-formsymmetrytimesassign
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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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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    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.