Building bulk geometry from the tensor Radon transform
Abstract Using the tensor Radon transform and related numerical methods, we study how bulk geometries can be explicitly reconstructed from boundary entanglement entropies in the specific case of AdS3 /CFT2. We find that, given the boundary entanglement entropies of a 2d CFT, this framework provides...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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SpringerOpen
2020-12-01
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| Series: | Journal of High Energy Physics |
| Subjects: | |
| Online Access: | https://doi.org/10.1007/JHEP12(2020)033 |
| _version_ | 1818721206549872640 |
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| author | ChunJun Cao Xiao-Liang Qi Brian Swingle Eugene Tang |
| author_facet | ChunJun Cao Xiao-Liang Qi Brian Swingle Eugene Tang |
| author_sort | ChunJun Cao |
| collection | DOAJ |
| description | Abstract Using the tensor Radon transform and related numerical methods, we study how bulk geometries can be explicitly reconstructed from boundary entanglement entropies in the specific case of AdS3 /CFT2. We find that, given the boundary entanglement entropies of a 2d CFT, this framework provides a quantitative measure that detects whether the bulk dual is geometric in the perturbative (near AdS) limit. In the case where a well-defined bulk geometry exists, we explicitly reconstruct the unique bulk metric tensor once a gauge choice is made. We then examine the emergent bulk geometries for static and dynamical scenarios in holography and in many-body systems. Apart from the physics results, our work demonstrates that numerical methods are feasible and effective in the study of bulk reconstruction in AdS/CFT. |
| first_indexed | 2024-12-17T20:35:03Z |
| format | Article |
| id | doaj.art-80fba5f18cb546238d02aa5a1bd5f096 |
| institution | Directory Open Access Journal |
| issn | 1029-8479 |
| language | English |
| last_indexed | 2024-12-17T20:35:03Z |
| publishDate | 2020-12-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj.art-80fba5f18cb546238d02aa5a1bd5f0962022-12-21T21:33:28ZengSpringerOpenJournal of High Energy Physics1029-84792020-12-0120201215010.1007/JHEP12(2020)033Building bulk geometry from the tensor Radon transformChunJun Cao0Xiao-Liang Qi1Brian Swingle2Eugene Tang3Joint Center for Quantum Information and Computer Science, University of MarylandStanford Institute for Theoretical Physics, Stanford UniversityJoint Center for Quantum Information and Computer Science, University of MarylandInstitute for Quantum Information and Matter, California Institute of TechnologyAbstract Using the tensor Radon transform and related numerical methods, we study how bulk geometries can be explicitly reconstructed from boundary entanglement entropies in the specific case of AdS3 /CFT2. We find that, given the boundary entanglement entropies of a 2d CFT, this framework provides a quantitative measure that detects whether the bulk dual is geometric in the perturbative (near AdS) limit. In the case where a well-defined bulk geometry exists, we explicitly reconstruct the unique bulk metric tensor once a gauge choice is made. We then examine the emergent bulk geometries for static and dynamical scenarios in holography and in many-body systems. Apart from the physics results, our work demonstrates that numerical methods are feasible and effective in the study of bulk reconstruction in AdS/CFT.https://doi.org/10.1007/JHEP12(2020)033AdS-CFT CorrespondenceConformal Field TheoryModels of QuantumGravity |
| spellingShingle | ChunJun Cao Xiao-Liang Qi Brian Swingle Eugene Tang Building bulk geometry from the tensor Radon transform Journal of High Energy Physics AdS-CFT Correspondence Conformal Field Theory Models of Quantum Gravity |
| title | Building bulk geometry from the tensor Radon transform |
| title_full | Building bulk geometry from the tensor Radon transform |
| title_fullStr | Building bulk geometry from the tensor Radon transform |
| title_full_unstemmed | Building bulk geometry from the tensor Radon transform |
| title_short | Building bulk geometry from the tensor Radon transform |
| title_sort | building bulk geometry from the tensor radon transform |
| topic | AdS-CFT Correspondence Conformal Field Theory Models of Quantum Gravity |
| url | https://doi.org/10.1007/JHEP12(2020)033 |
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