3d gravity as a random ensemble
Abstract We give further evidence that the matrix-tensor model studied in [1] is dual to AdS3 gravity including the sum over topologies. This provides a 3D version of the duality between JT gravity and an ensemble of random Hamiltonians, in which the matrix and tensor provide random CFT2 data subjec...
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| Format: | Article |
| Language: | English |
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SpringerOpen
2025-02-01
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| Series: | Journal of High Energy Physics |
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| Online Access: | https://doi.org/10.1007/JHEP02(2025)208 |
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| author | Daniel L. Jafferis Liza Rozenberg Gabriel Wong |
| author_facet | Daniel L. Jafferis Liza Rozenberg Gabriel Wong |
| author_sort | Daniel L. Jafferis |
| collection | DOAJ |
| description | Abstract We give further evidence that the matrix-tensor model studied in [1] is dual to AdS3 gravity including the sum over topologies. This provides a 3D version of the duality between JT gravity and an ensemble of random Hamiltonians, in which the matrix and tensor provide random CFT2 data subject to a potential that incorporates the bootstrap constraints. We show how the Feynman rules of the ensemble produce a sum over all 3-manifolds and how surgery is implemented by the matrix integral. The partition functions of the resulting 3d gravity theory agree with Virasoro TQFT (VTQFT) on a fixed, hyperbolic manifold. However, on non-hyperbolic geometries, our 3d gravity theory differs from VTQFT, leading to a difference in the eigenvalue statistics of the associated ensemble. As explained in [1], the Schwinger-Dyson (SD) equations of the matrix-tensor integral play a crucial role in understanding how gravity emerges in the limit that the ensemble localizes to exact CFT’s. We show how the SD equations can be translated into a combinatorial problem about 3-manifolds. |
| format | Article |
| id | doaj-art-99bcf0fa38d0453fbf44273bcd27e351 |
| institution | OA Journals |
| issn | 1029-8479 |
| language | English |
| publishDate | 2025-02-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj-art-99bcf0fa38d0453fbf44273bcd27e3512025-08-20T01:53:04ZengSpringerOpenJournal of High Energy Physics1029-84792025-02-012025217110.1007/JHEP02(2025)2083d gravity as a random ensembleDaniel L. Jafferis0Liza Rozenberg1Gabriel Wong2Jefferson Physical Laboratory, Harvard UniversityJefferson Physical Laboratory, Harvard UniversityJefferson Physical Laboratory, Harvard UniversityAbstract We give further evidence that the matrix-tensor model studied in [1] is dual to AdS3 gravity including the sum over topologies. This provides a 3D version of the duality between JT gravity and an ensemble of random Hamiltonians, in which the matrix and tensor provide random CFT2 data subject to a potential that incorporates the bootstrap constraints. We show how the Feynman rules of the ensemble produce a sum over all 3-manifolds and how surgery is implemented by the matrix integral. The partition functions of the resulting 3d gravity theory agree with Virasoro TQFT (VTQFT) on a fixed, hyperbolic manifold. However, on non-hyperbolic geometries, our 3d gravity theory differs from VTQFT, leading to a difference in the eigenvalue statistics of the associated ensemble. As explained in [1], the Schwinger-Dyson (SD) equations of the matrix-tensor integral play a crucial role in understanding how gravity emerges in the limit that the ensemble localizes to exact CFT’s. We show how the SD equations can be translated into a combinatorial problem about 3-manifolds.https://doi.org/10.1007/JHEP02(2025)208AdS-CFT CorrespondenceMatrix ModelsModels of Quantum GravityTopological Field Theories |
| spellingShingle | Daniel L. Jafferis Liza Rozenberg Gabriel Wong 3d gravity as a random ensemble Journal of High Energy Physics AdS-CFT Correspondence Matrix Models Models of Quantum Gravity Topological Field Theories |
| title | 3d gravity as a random ensemble |
| title_full | 3d gravity as a random ensemble |
| title_fullStr | 3d gravity as a random ensemble |
| title_full_unstemmed | 3d gravity as a random ensemble |
| title_short | 3d gravity as a random ensemble |
| title_sort | 3d gravity as a random ensemble |
| topic | AdS-CFT Correspondence Matrix Models Models of Quantum Gravity Topological Field Theories |
| url | https://doi.org/10.1007/JHEP02(2025)208 |
| work_keys_str_mv | AT danielljafferis 3dgravityasarandomensemble AT lizarozenberg 3dgravityasarandomensemble AT gabrielwong 3dgravityasarandomensemble |