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Entanglement Edge Modes of General Noncommutative Matrix Backgrounds

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arxiv 2311.10131 v1 pith:3HTZWF5R submitted 2023-11-16 hep-th

Alexander Frenkel This is my paper · ORCID
classification hep-th
keywords backgroundsedgeframemodesnoncommutativeentanglementgeneralmatrix
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abstract

We explore the structure of entanglement edge modes on noncommutative backgrounds that arise from matrix quantum mechanics. For the fuzzy sphere, despite nonlocality and UV/IR mixing, we find area law behavior in the dominant $U(N)$ representations governing the state of the edge modes. For general noncommutative backgrounds with no global symmetry, nonlocal effects resum into a smoothly varying coupling constant that deforms the metric to a different frame. The effect is analogous to the relationship between string frame and Einstein frame in string theory.

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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. Relational entanglement entropies and quantum reference frames in gauge theories

    hep-th 2025-06 accept novelty 7.0 of 10

    Quantum reference frames built from Wilson lines give lattice gauge theories gauge-invariant subsystem factorizations and a hierarchy of relational entanglement entropies.

  2. Soft edges: the many links between soft and edge modes

    hep-th 2024-12 conditional novelty 7.0 of 10

    In Maxwell theory, asymptotically charged edge modes (soft edges) pull asymptotic symmetries and soft data into finite subregions, giving finite-distance corner charges without an infinite-volume limit.

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