Journal of High Energy Physics

, 2019:94 | Cite as

A modular sewing kit for entanglement wedges

  • Bartlomiej CzechEmail author
  • Jan de Boer
  • Dongsheng Ge
  • Lampros Lamprou
Open Access
Regular Article - Theoretical Physics


We relate the Riemann curvature of a holographic spacetime to an entangle- ment 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 cor- responding entanglement wedges. At leading order in 1/N and for sufficiently smooth HRRT surfaces, the modular Berry connection simply sews together the orthonormal co- ordinate systems covering neighborhoods of HRRT surfaces. This geometric perspective on entanglement is a promising new tool for connecting the dynamics of entanglement and gravitation.


AdS-CFT Correspondence Gauge-gravity correspondence 


Open Access

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Copyright information

© The Author(s) 2019

Authors and Affiliations

  • Bartlomiej Czech
    • 1
    Email author
  • Jan de Boer
    • 2
  • Dongsheng Ge
    • 3
  • Lampros Lamprou
    • 4
  1. 1.Institute for Advanced StudyTsinghua UniversityBeijingChina
  2. 2.Institute for Theoretical Physics and Delta Institute for Theoretical PhysicsUniversity of AmsterdamAmsterdamThe Netherlands
  3. 3.Laboratoire de Physique de l’École Normale Supérieure, ENS, Université PSL, CNRS, Sorbonne UniversitéUniversité Paris-DiderotParisFrance
  4. 4.Center for Theoretical PhysicsMassachusetts Institute of TechnologyCambridgeU.S.A.

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