Holographic tensor networks with bulk gauge symmetries
Abstract Tensor networks are useful toy models for understanding the structure of entanglement in holographic states and reconstruction of bulk operators within the entanglement wedge. They are, however, constrained to only prepare so-called “fixed-area states” with flat entanglement spectra, limiti...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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SpringerOpen
2024-02-01
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| Series: | Journal of High Energy Physics |
| Subjects: | |
| Online Access: | https://doi.org/10.1007/JHEP02(2024)222 |
| _version_ | 1827214418884165632 |
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| author | Xi Dong Sean McBride Wayne W. Weng |
| author_facet | Xi Dong Sean McBride Wayne W. Weng |
| author_sort | Xi Dong |
| collection | DOAJ |
| description | Abstract Tensor networks are useful toy models for understanding the structure of entanglement in holographic states and reconstruction of bulk operators within the entanglement wedge. They are, however, constrained to only prepare so-called “fixed-area states” with flat entanglement spectra, limiting their utility in understanding general features of holographic entanglement. Here, we overcome this limitation by constructing a variant of random tensor networks that enjoys bulk gauge symmetries. Our model includes a gauge theory on a general graph, whose gauge-invariant states are fed into a random tensor network. We show that the model satisfies the quantum-corrected Ryu-Takayanagi formula with a nontrivial area operator living in the center of a gauge-invariant algebra. We also demonstrate nontrivial, n-dependent contributions to the Rényi entropy and Rényi mutual information from this area operator, a feature shared by general holographic states. |
| first_indexed | 2024-03-07T15:23:30Z |
| format | Article |
| id | doaj.art-0a6e8c58e1024c729ddf3bcab493e5b7 |
| institution | Directory Open Access Journal |
| issn | 1029-8479 |
| language | English |
| last_indexed | 2025-03-21T14:31:01Z |
| publishDate | 2024-02-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj.art-0a6e8c58e1024c729ddf3bcab493e5b72024-06-23T11:06:43ZengSpringerOpenJournal of High Energy Physics1029-84792024-02-012024213110.1007/JHEP02(2024)222Holographic tensor networks with bulk gauge symmetriesXi Dong0Sean McBride1Wayne W. Weng2Department of Physics, University of CaliforniaDepartment of Physics, University of CaliforniaDepartment of Physics, University of CaliforniaAbstract Tensor networks are useful toy models for understanding the structure of entanglement in holographic states and reconstruction of bulk operators within the entanglement wedge. They are, however, constrained to only prepare so-called “fixed-area states” with flat entanglement spectra, limiting their utility in understanding general features of holographic entanglement. Here, we overcome this limitation by constructing a variant of random tensor networks that enjoys bulk gauge symmetries. Our model includes a gauge theory on a general graph, whose gauge-invariant states are fed into a random tensor network. We show that the model satisfies the quantum-corrected Ryu-Takayanagi formula with a nontrivial area operator living in the center of a gauge-invariant algebra. We also demonstrate nontrivial, n-dependent contributions to the Rényi entropy and Rényi mutual information from this area operator, a feature shared by general holographic states.https://doi.org/10.1007/JHEP02(2024)222AdS-CFT CorrespondenceGauge-Gravity Correspondence |
| spellingShingle | Xi Dong Sean McBride Wayne W. Weng Holographic tensor networks with bulk gauge symmetries Journal of High Energy Physics AdS-CFT Correspondence Gauge-Gravity Correspondence |
| title | Holographic tensor networks with bulk gauge symmetries |
| title_full | Holographic tensor networks with bulk gauge symmetries |
| title_fullStr | Holographic tensor networks with bulk gauge symmetries |
| title_full_unstemmed | Holographic tensor networks with bulk gauge symmetries |
| title_short | Holographic tensor networks with bulk gauge symmetries |
| title_sort | holographic tensor networks with bulk gauge symmetries |
| topic | AdS-CFT Correspondence Gauge-Gravity Correspondence |
| url | https://doi.org/10.1007/JHEP02(2024)222 |
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