A modular sewing kit for entanglement wedges

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, rela...

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Bibliographic Details
Main Authors: Czech, Bartlomiej (Author), de Boer, Jan (Author), Ge, Dongsheng (Author), Lamprou, Lampros (Author)
Other Authors: Massachusetts Institute of Technology. Center for Theoretical Physics (Contributor)
Format: Article
Language:English
Published: Springer Science and Business Media LLC, 2020-11-10T22:16:26Z.
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Online Access:Get fulltext
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100 1 0 |a Czech, Bartlomiej  |e author 
100 1 0 |a Massachusetts Institute of Technology. Center for Theoretical Physics  |e contributor 
700 1 0 |a de Boer, Jan  |e author 
700 1 0 |a Ge, Dongsheng  |e author 
700 1 0 |a Lamprou, Lampros  |e author 
245 0 0 |a A modular sewing kit for entanglement wedges 
260 |b Springer Science and Business Media LLC,   |c 2020-11-10T22:16:26Z. 
856 |z Get fulltext  |u https://hdl.handle.net/1721.1/128445 
520 |a 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. 
546 |a en 
655 7 |a Article 
773 |t Journal of High Energy Physics