A proposal for 3d quantum gravity and its bulk factorization
Abstract Recent progress in AdS/CFT has provided a good understanding of how the bulk spacetime is encoded in the entanglement structure of the boundary CFT. However, little is known about how spacetime emerges directly from the bulk quantum theory. We address this question in an effective 3d quantu...
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| Format: | Article |
| Language: | English |
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SpringerOpen
2023-06-01
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| Series: | Journal of High Energy Physics |
| Subjects: | |
| Online Access: | https://doi.org/10.1007/JHEP06(2023)134 |
| _version_ | 1797675928731516928 |
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| author | Thomas G. Mertens Joan Simón Gabriel Wong |
| author_facet | Thomas G. Mertens Joan Simón Gabriel Wong |
| author_sort | Thomas G. Mertens |
| collection | DOAJ |
| description | Abstract Recent progress in AdS/CFT has provided a good understanding of how the bulk spacetime is encoded in the entanglement structure of the boundary CFT. However, little is known about how spacetime emerges directly from the bulk quantum theory. We address this question in an effective 3d quantum theory of pure gravity, which describes the high temperature regime of a holographic CFT. This theory can be viewed as a q-deformation and dimensional uplift of JT gravity. Using this model, we show that the Bekenstein-Hawking entropy of a two-sided black hole equals the bulk entanglement entropy of gravitational edge modes. In the conventional Chern-Simons description, these black holes correspond to Wilson lines in representations of PSL(2, ℝ) ⨂ PSL(2, ℝ). We show that the correct calculation of gravitational entropy suggests we should interpret the bulk theory as an extended topological quantum field theory associated to the quantum semi-group SL q + 2 ℝ ⨂ SL q + 2 ℝ $$ {\textrm{SL}}_q^{+}\left(2,\mathbb{R}\right)\bigotimes {\textrm{SL}}_q^{+}\left(2,\mathbb{R}\right) $$ . Our calculation suggests an effective description of bulk microstates in terms of collective, anyonic degrees of freedom whose entanglement leads to the emergence of the bulk spacetime. |
| first_indexed | 2024-03-11T22:20:43Z |
| format | Article |
| id | doaj.art-36c04dd6ecdb4b7095be8c64ec4d380c |
| institution | Directory Open Access Journal |
| issn | 1029-8479 |
| language | English |
| last_indexed | 2024-03-11T22:20:43Z |
| publishDate | 2023-06-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj.art-36c04dd6ecdb4b7095be8c64ec4d380c2023-09-24T11:04:58ZengSpringerOpenJournal of High Energy Physics1029-84792023-06-012023619610.1007/JHEP06(2023)134A proposal for 3d quantum gravity and its bulk factorizationThomas G. Mertens0Joan Simón1Gabriel Wong2Department of Physics and Astronomy, Ghent UniversitySchool of Mathematics and Maxwell Institute for Mathematical Sciences, University of EdinburghPhysics Department, Fudan UniversityAbstract Recent progress in AdS/CFT has provided a good understanding of how the bulk spacetime is encoded in the entanglement structure of the boundary CFT. However, little is known about how spacetime emerges directly from the bulk quantum theory. We address this question in an effective 3d quantum theory of pure gravity, which describes the high temperature regime of a holographic CFT. This theory can be viewed as a q-deformation and dimensional uplift of JT gravity. Using this model, we show that the Bekenstein-Hawking entropy of a two-sided black hole equals the bulk entanglement entropy of gravitational edge modes. In the conventional Chern-Simons description, these black holes correspond to Wilson lines in representations of PSL(2, ℝ) ⨂ PSL(2, ℝ). We show that the correct calculation of gravitational entropy suggests we should interpret the bulk theory as an extended topological quantum field theory associated to the quantum semi-group SL q + 2 ℝ ⨂ SL q + 2 ℝ $$ {\textrm{SL}}_q^{+}\left(2,\mathbb{R}\right)\bigotimes {\textrm{SL}}_q^{+}\left(2,\mathbb{R}\right) $$ . Our calculation suggests an effective description of bulk microstates in terms of collective, anyonic degrees of freedom whose entanglement leads to the emergence of the bulk spacetime.https://doi.org/10.1007/JHEP06(2023)134Black HolesChern-Simons TheoriesModels of Quantum GravityTopological Field Theories |
| spellingShingle | Thomas G. Mertens Joan Simón Gabriel Wong A proposal for 3d quantum gravity and its bulk factorization Journal of High Energy Physics Black Holes Chern-Simons Theories Models of Quantum Gravity Topological Field Theories |
| title | A proposal for 3d quantum gravity and its bulk factorization |
| title_full | A proposal for 3d quantum gravity and its bulk factorization |
| title_fullStr | A proposal for 3d quantum gravity and its bulk factorization |
| title_full_unstemmed | A proposal for 3d quantum gravity and its bulk factorization |
| title_short | A proposal for 3d quantum gravity and its bulk factorization |
| title_sort | proposal for 3d quantum gravity and its bulk factorization |
| topic | Black Holes Chern-Simons Theories Models of Quantum Gravity Topological Field Theories |
| url | https://doi.org/10.1007/JHEP06(2023)134 |
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