Low-dimensional de Sitter quantum gravity
Open accessAbstract
We study aspects of Jackiw-Teitelboim (JT) quantum gravity in two-dimensional nearly de Sitter (dS) spacetime, as well as pure de Sitter quantum gravity in three dimensions. These are each theories of boundary modes, which include a reparameterization field on each connected component of the boundary as well as topological degrees of freedom. In two dimensions, the boundary theory is closely related to the Schwarzian path integral, and in three dimensions to the quantization of coadjoint orbits of the Virasoro group. Using these boundary theories we compute loop corrections to the wavefunction of the universe, and investigate gravitational contributions to scattering. Along the way, we show that JT gravity in dS 2 is an analytic continuation of JT gravity in Euclidean AdS 2, and that pure gravity in dS 3 is a continuation of pure gravity in Euclidean AdS 3. We define a genus expansion for de Sitter JT gravity by summing over higher genus generalizations of surfaces used in the Hartle-Hawking construction. Assuming a conjecture regarding the volumes of moduli spaces of such surfaces, we find that the de Sitter genus expansion is the continuation of the recently discovered AdS genus expansion. Then both may be understood as coming from the genus expansion of the same double-scaled matrix model, which would provide a non-perturbative completion of de Sitter JT gravity.
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For pure JT gravity, the sum over non-trivial topologies when computing the wavefunction of the universe can be reproduced by a matrix model similar to SSS.
“For the case of pure JT gravity, the sum over non-trivial topologies when computing this wavefunction of the universe can be reproduced by a matrix model similar to SSS (Maldacena et al. 2021; Cotler et al. 2020).”
From Solvable models of quantum black holes: a review on Jackiw–Teitelboim gravity (2023) · cites this paper as Cotler et al. 2020
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Replica wormholes and the black hole interior
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Replica wormholes and the black hole interior
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“This model is a two dimensional nearly de Sitter space described by Jackiw-Teitelboim gravity with positive cosmological constant [48, 77].”
MethodTwo dimensional nearly de Sitter gravity
Maldacena, J., Turiaci, G. J., & Yang, Z. (2021) · Journal of High Energy Physics · doi:10.1007/jhep01(2021)139 · Cited by 190 · see citing works
Solvable models of quantum black holes: a review on Jackiw–Teitelboim gravity
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Liouville quantum gravity — holography, JT and matrices
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2D dilaton-gravity, deformations of the minimal string, and matrix models
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Multi-boundary correlators in JT gravity
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- Authors
- Cotler, J., Jensen, K., & Maloney, A.
- Affiliations
- Stanford University (US)
- San Francisco State University (US)
- McGill University (CA)
- Corresponding author
- Cotler, Jordan
- Venue
- Journal of High Energy Physics
- Published
- 2020-06-05
- Volume
- 2020
- Issue
- 6
- ISSN
- 1029-8479 (ISSN-L)
- OpenAlex
- W2944783646
- Cited by
- 129
- References
- 10
- Citations by year
- 2026: 14 · 2025: 30 · 2024: 12 · 2023: 18 · 2022: 15 · 2021: 27 · 2020: 13
- FWCI
- 8.07
- Type
- journal article
- Language
- en
- Open access
- diamond
- doi.org
- Locations
- Journal of High Energy Physics (publishedVersion, cc-by)
- arXiv (Cornell University) (publishedVersion)
- DOAJ (DOAJ: Directory of Open Access Journals) (submittedVersion, cc-by-sa)
- arXiv (Cornell University)
- Funders
- U.S. Department of Energy (DESC0013682, DESC0019380)
- Hertz Foundation
- CERN
- Natural Sciences and Engineering Research Council of Canada (SAPIN/00032-2015)
- Kavli Institute for Theoretical Physics, University of California, Santa Barbara
- Topics
- Physical Sciences › Physics and Astronomy › Nuclear and High Energy Physics › Black Holes and Theoretical Physics
- Physical Sciences › Physics and Astronomy › Statistical and Nonlinear Physics › Noncommutative and Quantum Gravity Theories
- Physical Sciences › Physics and Astronomy › Astronomy and Astrophysics › Relativity and Gravitational Theory
- Keywords
- Jackiw-Teitelboim gravity, gravitational scattering, analytic continuation, genus expansion, topological field theory, boundary modes
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