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A Modular Sewing Kit for Entanglement Wedges

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arxiv 1903.04493 v1 pith:2U7DKKPZ submitted 2019-03-11 hep-th

Bartlomiej Czech , Jan de Boer , Dongsheng Ge , Lampros Lamprou This is my paper · ORCID
classification hep-th
keywords entanglementmodularberryconnectioncurvaturedualhrrtsurfaces
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We relate the Riemann curvature of a holographic spacetime to an entanglement property of the dual CFT state: the Berry curvature of its modular Hamiltonians. The modular Berry connection encodes the relative bases of nearby CFT subregions while its bulk dual, restricted to the code subspace, relates the edge-mode frames of the corresponding entanglement wedges. At leading order in 1/N and for sufficiently smooth HRRT surfaces, the modular Berry connection simply sews together the orthonormal coordinate systems covering neighborhoods of HRRT surfaces. This geometric perspective on entanglement is a promising new tool for connecting the dynamics of entanglement and gravitation.

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Cited by 4 Pith papers

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

  1. Algebras for generalized entanglement wedges

    hep-th 2025-11 conditional novelty 7.0 of 10

    Generalized (Bousso–Penington) entanglement wedges are conjectured to carry von Neumann algebras such that S_gen(W) = S(ω|A_W) − log Ind(E) + K_Ω (eq. 2.7), making BP's monotonicity and strong subadditivity consequenc...

  2. The algebraic structure of gravitational scrambling

    hep-th 2025-08 conditional novelty 7.0 of 10

    The paper builds an operator algebra, the modular-twisted product, that captures black hole scrambling exactly at the scrambling time and reduces to previously known free and tensor product algebras in the appropriate limits.

  3. Geometric modular flows in 2d CFT and beyond

    hep-th 2025-02 conditional novelty 7.0 of 10

    In 2d CFTs, every suitably regular Unruh flow on the Rindler wedge is the modular flow of a state obtained by a conformal unitary acting on the vacuum or thermal state, and local entropy and stress-tensor formulas follow.

  4. Modular Flow of Celestial Conformal Field Theory

    hep-th 2026-05 unverdicted novelty 4.0 of 10

    The work introduces vector flow and modular flows in celestial field theory and Klein CFTs and examines their structures in Lifshitz and exotic field theories.

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