Bit threads in higher-curvature gravity
Abstract We generalize holographic bit threads to bulk theories with a gravitational action containing higher-curvature terms. Bit threads are a reformulation of holographic entanglement entropy, where the entropy is given by the maximum number of threads emanating from a boundary region into the bu...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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SpringerOpen
2018-11-01
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| Series: | Journal of High Energy Physics |
| Subjects: | |
| Online Access: | http://link.springer.com/article/10.1007/JHEP11(2018)168 |
| _version_ | 1828805251549888512 |
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| author | Jonathan Harper Matthew Headrick Andrew Rolph |
| author_facet | Jonathan Harper Matthew Headrick Andrew Rolph |
| author_sort | Jonathan Harper |
| collection | DOAJ |
| description | Abstract We generalize holographic bit threads to bulk theories with a gravitational action containing higher-curvature terms. Bit threads are a reformulation of holographic entanglement entropy, where the entropy is given by the maximum number of threads emanating from a boundary region into the bulk. We show that the addition of higher-curvature terms adds corrections to the bit thread thickness that depend on the local geometry and thread orientation. Two different methods are given: determination of the density bound by requiring the maximum number of threads through a given surface to reproduce the entanglement entropy functional on that surface, and application of Lagrange dualization. The results of the two methods are applied to Gauss-Bonnet gravity as the simplest non-trivial example. |
| first_indexed | 2024-12-12T07:51:53Z |
| format | Article |
| id | doaj.art-ee3dba3b31e744fdb02fbfb6f5cc0d73 |
| institution | Directory Open Access Journal |
| issn | 1029-8479 |
| language | English |
| last_indexed | 2024-12-12T07:51:53Z |
| publishDate | 2018-11-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj.art-ee3dba3b31e744fdb02fbfb6f5cc0d732022-12-22T00:32:25ZengSpringerOpenJournal of High Energy Physics1029-84792018-11-0120181113110.1007/JHEP11(2018)168Bit threads in higher-curvature gravityJonathan Harper0Matthew Headrick1Andrew Rolph2Martin Fisher School of Physics, Brandeis UniversityMartin Fisher School of Physics, Brandeis UniversityMartin Fisher School of Physics, Brandeis UniversityAbstract We generalize holographic bit threads to bulk theories with a gravitational action containing higher-curvature terms. Bit threads are a reformulation of holographic entanglement entropy, where the entropy is given by the maximum number of threads emanating from a boundary region into the bulk. We show that the addition of higher-curvature terms adds corrections to the bit thread thickness that depend on the local geometry and thread orientation. Two different methods are given: determination of the density bound by requiring the maximum number of threads through a given surface to reproduce the entanglement entropy functional on that surface, and application of Lagrange dualization. The results of the two methods are applied to Gauss-Bonnet gravity as the simplest non-trivial example.http://link.springer.com/article/10.1007/JHEP11(2018)168AdS-CFT CorrespondenceClassical Theories of Gravity |
| spellingShingle | Jonathan Harper Matthew Headrick Andrew Rolph Bit threads in higher-curvature gravity Journal of High Energy Physics AdS-CFT Correspondence Classical Theories of Gravity |
| title | Bit threads in higher-curvature gravity |
| title_full | Bit threads in higher-curvature gravity |
| title_fullStr | Bit threads in higher-curvature gravity |
| title_full_unstemmed | Bit threads in higher-curvature gravity |
| title_short | Bit threads in higher-curvature gravity |
| title_sort | bit threads in higher curvature gravity |
| topic | AdS-CFT Correspondence Classical Theories of Gravity |
| url | http://link.springer.com/article/10.1007/JHEP11(2018)168 |
| work_keys_str_mv | AT jonathanharper bitthreadsinhighercurvaturegravity AT matthewheadrick bitthreadsinhighercurvaturegravity AT andrewrolph bitthreadsinhighercurvaturegravity |