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Entanglement Resolution with Respect to Conformal Symmetry

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arxiv 2303.07724 v2 pith:TRWOYAK2 submitted 2023-03-14 hep-th cond-mat.stat-mechcond-mat.str-elquant-ph

Christian Northe This is my paper · ORCID
classification hep-thcond-mat.stat-mechcond-mat.str-elquant-ph
keywords conformalentanglemententropyfamiliesordersrespectsymmetryaffleck-ludwig
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Entanglement is resolved in conformal field theory (CFT) with respect to conformal families to all orders in the UV cutoff. To leading order, symmetry-resolved entanglement is connected to the quantum dimension of a conformal family, while to all orders it depends on null vectors. Criteria for equipartition between sectors are provided in both cases. This analysis exhausts all unitary conformal families. Furthermore, topological entanglement entropy is shown to symmetry-resolve the Affleck-Ludwig boundary entropy. Configuration and fluctuation entropy are analyzed on grounds of conformal symmetry.

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Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Entanglement in Presence of Topological Interfaces and Dualities

    hep-th 2026-07 conditional novelty 7.0 of 10

    Duality interfaces in 2d CFT project the vacuum entanglement spectrum onto a single symmetry sector, making the interface itself a physical symmetry-resolution filter.

  2. Entanglement asymmetry and symmetry defects in boundary conformal field theory

    hep-th 2024-11 conditional novelty 6.0 of 10

    For 2D CFTs with boundary-only symmetry breaking, the entanglement asymmetry is log|G| with power-law corrections for finite groups, (dim G/2) log log(ℓ/ε) for compact Lie groups, and it drops from log|G| to 0 at t=ℓ/...

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