A proposal for 3d quantum gravity and its bulk factorization
- Author
- Thomas Mertens (UGent) , Joan Simón and Gabriel Wong
- Organization
- Project
- 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). 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.
- Keywords
- Black holes, Chern-Simons theories, Models of quantum gravity, Topological field theories, BLACK-HOLE ENTROPY, CONFORMAL FIELD-THEORIES, LIOUVILLE THEORY, GAUGE-THEORIES, STRING THEORY, D-BRANES, QUANTIZATION, ENTANGLEMENT, SPACETIME, BOOTSTRAP
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Citation
Please use this url to cite or link to this publication: http://hdl.handle.net/1854/LU-01HM8V9B7B6AAXDRASAK6CGNV0
- MLA
- Mertens, Thomas, et al. “A Proposal for 3d Quantum Gravity and Its Bulk Factorization.” JOURNAL OF HIGH ENERGY PHYSICS, vol. 2023, no. 6, 2023, doi:10.1007/jhep06(2023)134.
- APA
- Mertens, T., Simón, J., & Wong, G. (2023). A proposal for 3d quantum gravity and its bulk factorization. JOURNAL OF HIGH ENERGY PHYSICS, 2023(6). https://doi.org/10.1007/jhep06(2023)134
- Chicago author-date
- Mertens, Thomas, Joan Simón, and Gabriel Wong. 2023. “A Proposal for 3d Quantum Gravity and Its Bulk Factorization.” JOURNAL OF HIGH ENERGY PHYSICS 2023 (6). https://doi.org/10.1007/jhep06(2023)134.
- Chicago author-date (all authors)
- Mertens, Thomas, Joan Simón, and Gabriel Wong. 2023. “A Proposal for 3d Quantum Gravity and Its Bulk Factorization.” JOURNAL OF HIGH ENERGY PHYSICS 2023 (6). doi:10.1007/jhep06(2023)134.
- Vancouver
- 1.Mertens T, Simón J, Wong G. A proposal for 3d quantum gravity and its bulk factorization. JOURNAL OF HIGH ENERGY PHYSICS. 2023;2023(6).
- IEEE
- [1]T. Mertens, J. Simón, and G. Wong, “A proposal for 3d quantum gravity and its bulk factorization,” JOURNAL OF HIGH ENERGY PHYSICS, vol. 2023, no. 6, 2023.
@article{01HM8V9B7B6AAXDRASAK6CGNV0, 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). 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.}}, articleno = {{134}}, author = {{Mertens, Thomas and Simón, Joan and Wong, Gabriel}}, issn = {{1029-8479}}, journal = {{JOURNAL OF HIGH ENERGY PHYSICS}}, keywords = {{Black holes,Chern-Simons theories,Models of quantum gravity,Topological field theories,BLACK-HOLE ENTROPY,CONFORMAL FIELD-THEORIES,LIOUVILLE THEORY,GAUGE-THEORIES,STRING THEORY,D-BRANES,QUANTIZATION,ENTANGLEMENT,SPACETIME,BOOTSTRAP}}, language = {{eng}}, number = {{6}}, pages = {{94}}, title = {{A proposal for 3d quantum gravity and its bulk factorization}}, url = {{http://doi.org/10.1007/jhep06(2023)134}}, volume = {{2023}}, year = {{2023}}, }
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