JT Gravity in de Sitter Space and the Problem of Time
arXiv:2307.15900 · doi:10.1007/JHEP02(2024)145
Abstract
We discuss the canonical quantisation of JT gravity in de Sitter space, following earlier work by Henneaux, with particular attention to the problem of time. Choosing the dilaton as the physical clock, we define a norm and operator expectation values for states and explore the classical limit. We find that requiring a conserved and finite norm and well-defined expectation values for operators imposes significant restrictions on states, as does the requirement of a classical limit. However, these requirements can all be met, with the dilaton providing a satisfactory physical clock. We construct several examples and analyse them in detail. We find that in fact an infinite number of states exist which meet the various conditions mentioned above.
78 pages, 5 figures, v2: Minor modifications made. One new appendix added and one appendix enlarged. New references and minor comments added
References in corpus (14)
- Solvable Models of Quantum Black Holes: A Review on Jackiw-Teitelboim Gravity
- Islands in cosmology
- Islands in de Sitter space
- Quasi-local energy and microcanonical entropy in two-dimensional nearly de Sitter gravity
- No Page Curves for the de Sitter Horizon
- Sphere and disk partition functions in Liouville and in matrix integrals
- On aspects of 2-dim dilaton gravity, dimensional reduction and holography
- Near-Extremal Limits of de Sitter Black Holes
- An Outsider's Perspective on Information Recovery in de Sitter Space
- Quantization of the Jackiw-Teitelboim model
- Is Action Complexity better for de Sitter space in Jackiw-Teitelboim gravity?
- Jackiw-Teitelboim and Kantowski-Sachs quantum cosmology
- Islands in Proliferating de Sitter Spaces
- Holographic networks for (1+1)-dimensional de Sitter spacetime
Cited by in corpus (8)
- The complex Liouville string: the gravitational path integral
- Aspects of dS/CFT Holography
- Jackiw-Teitelboim Gravity and Lorentzian Quantum Cosmology
- Low-curvature quantum corrections from unitary evolution of de Sitter space
- Massive fields and Wilson spools in JT gravity
- JT Gravity in de Sitter Space and Its Extensions
- JT de Sitter Gravity as a Model of Coleman-de Luccia Tunneling
- York time in JT gravity