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...
| Main Authors: | , , , |
|---|---|
| Other Authors: | |
| Format: | Article |
| Language: | English |
| Published: |
Springer Science and Business Media LLC
2020
|
| Online Access: | https://hdl.handle.net/1721.1/128445 |
| _version_ | 1811090983393165312 |
|---|---|
| author | Czech, Bartlomiej de Boer, Jan Ge, Dongsheng Lamprou, Lampros |
| author2 | Massachusetts Institute of Technology. Center for Theoretical Physics |
| author_facet | Massachusetts Institute of Technology. Center for Theoretical Physics Czech, Bartlomiej de Boer, Jan Ge, Dongsheng Lamprou, Lampros |
| author_sort | Czech, Bartlomiej |
| collection | MIT |
| description | 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. |
| first_indexed | 2024-09-23T14:55:19Z |
| format | Article |
| id | mit-1721.1/128445 |
| institution | Massachusetts Institute of Technology |
| language | English |
| last_indexed | 2024-09-23T14:55:19Z |
| publishDate | 2020 |
| publisher | Springer Science and Business Media LLC |
| record_format | dspace |
| spelling | mit-1721.1/1284452022-10-01T23:20:26Z A modular sewing kit for entanglement wedges Czech, Bartlomiej de Boer, Jan Ge, Dongsheng Lamprou, Lampros Massachusetts Institute of Technology. Center for 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. 2020-11-10T22:16:26Z 2020-11-10T22:16:26Z 2019-11 2019-07 2020-06-26T13:07:46Z Article http://purl.org/eprint/type/JournalArticle 1029-8479 https://hdl.handle.net/1721.1/128445 Czech, Bartlomiej et al. "A modular sewing kit for entanglement wedges." Journal of High Energy Physics 2019, 11 (November 2019): 94 en http://dx.doi.org/10.1007/jhep11(2019)094 Journal of High Energy Physics Creative Commons Attribution https://creativecommons.org/licenses/by/4.0/ The Author(s) application/pdf Springer Science and Business Media LLC Springer Berlin Heidelberg |
| spellingShingle | Czech, Bartlomiej de Boer, Jan Ge, Dongsheng Lamprou, Lampros A modular sewing kit for entanglement wedges |
| title | A modular sewing kit for entanglement wedges |
| title_full | A modular sewing kit for entanglement wedges |
| title_fullStr | A modular sewing kit for entanglement wedges |
| title_full_unstemmed | A modular sewing kit for entanglement wedges |
| title_short | A modular sewing kit for entanglement wedges |
| title_sort | modular sewing kit for entanglement wedges |
| url | https://hdl.handle.net/1721.1/128445 |
| work_keys_str_mv | AT czechbartlomiej amodularsewingkitforentanglementwedges AT deboerjan amodularsewingkitforentanglementwedges AT gedongsheng amodularsewingkitforentanglementwedges AT lamproulampros amodularsewingkitforentanglementwedges AT czechbartlomiej modularsewingkitforentanglementwedges AT deboerjan modularsewingkitforentanglementwedges AT gedongsheng modularsewingkitforentanglementwedges AT lamproulampros modularsewingkitforentanglementwedges |