A modular sewing kit for entanglement wedges
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13130_2019_Article_11810.pdf
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1.61 MB
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Checksum (MD5)
a6805fb2bc33c103ed9a0d01a48cfc01
Author(s)
Czech, Bartlomiej
de Boer, Jan
Ge, Dongsheng
Lamprou, Lampros
Date Issued
November 2019
Journal
Journal of High Energy Physics
Publisher
Springer Science and Business Media LLC
Citation
Czech, Bartlomiej et al. "A modular sewing kit for entanglement wedges." Journal of High Energy Physics 2019, 11 (November 2019): 94
Version
Final published version
Abstract
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.
MIT Department
Massachusetts Institute of Technology. Center for Theoretical Physics
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Creative Commons Attribution
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DOI of Published Version
https://doi.org/10.1007/jhep11(2019)094
