Low-dimensional de Sitter quantum gravity

Abstract

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.

106 pages, 13 figures; v2: published version, subsection on complex metrics added; v3: comments added on relation to 2401.01925

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Cited by in corpus (73)

• Solvable Models of Quantum Black Holes: A Review on Jackiw-Teitelboim Gravity
• AdS${}_3$ gravity and random CFT
• The path integral of 3D gravity near extremality; or, JT gravity with defects as a matrix integral
• Islands in cosmology
• Bra-ket wormholes in gravitationally prepared states
• Islands in de Sitter space
• Quantum de Sitter horizon entropy from quasicanonical bulk, edge, sphere and topological string partition functions
• Pseudo Entropy in dS/CFT and Time-like Entanglement Entropy
• Timelike entanglement entropy
• Liouville quantum gravity -- holography, JT and matrices
• Quasi-local energy and microcanonical entropy in two-dimensional nearly de Sitter gravity
• AdS Euclidean wormholes
• Pure de Sitter space and the island moving back in time
• Holography in de Sitter Space via Chern-Simons Gauge Theory
• Gravitational Constrained Instantons
• Eigenbranes in Jackiw-Teitelboim gravity
• Limits of JT gravity
• Wormhole calculus, replicas, and entropies
• CFT duals of three-dimensional de Sitter gravity
• Classifying boundary conditions in JT gravity: from energy-branes to $\alpha$-branes
• No Page Curves for the de Sitter Horizon
• Holographic Complexity in dS${}_{d+1}$
• An integrable road to a perturbative plateau
• The Effective Action of Superrotation Modes
• Density matrices in quantum gravity
• Keldysh Wormholes and Anomalous Relaxation in the Dissipative Sachdev-Ye-Kitaev Model
• Jackiw-Teitelboim Gravity in the Second Order Formalism
• Liouville theory and Matrix models: A Wheeler DeWitt perspective
• A JT supergravity as a double-cut matrix model
• Wedge Holography in Flat Space and Celestial Holography
• A precision test of averaging in AdS/CFT
• JT Gravity Limit of Liouville CFT and Matrix Model
• A microscopic realization of dS${}_3$
• Islands in Multiverse Models
• Island formula in Planck brane
• Degenerate operators in JT and Liouville (super)gravity
• An invitation to the principal series
• JT Gravity in de Sitter Space and the Problem of Time
• Gravitational Wilson Lines in 3D de Sitter
• Holographic boundary actions in AdS${}_3$/CFT${}_2$ revisited
• dS${}_2$ Supergravity
• Stability of the microcanonical ensemble in Euclidean Quantum Gravity
• The complex Liouville string: the matrix integral
• Jackiw-Teitelboim quantum gravity with defects and the Aharonov-Bohm effect
• JT gravity from holographic reduction of 3D asymptotically flat spacetime
• The double cone geometry is stable to brane nucleation
• Toward a classification of PT-symmetric quantum systems: From dissipative dynamics to topology and wormholes
• Islands and the de Sitter entropy bound
• Implication of island for inflation and primordial perturbations
• Reparametrization modes in 2d CFT and the effective theory of stress tensor exchanges
• Islands in Proliferating de Sitter Spaces
• Deformations of JT Gravity via Topological Gravity and Applications
• Pole-skipping in two-dimensional de Sitter spacetime and double-scaled SYK model
• Probing de Sitter Space Using CFT States
• The complex Liouville string: the gravitational path integral
• Holographic networks for (1+1)-dimensional de Sitter spacetime
• Bulk Reconstruction of Scalar Excitations in Flat${}_3$/CCFT${}_2$ and the Flat Limit from (A)dS${}_3$/CFT${}_2$
• On the Quantum Bousso Bound in JT gravity
• Path integrals in JT gravity and Virasoro constraints
• Les Houches lectures on two-dimensional gravity and holography
• Shocks and Information Exchange in de Sitter Space
• Jackiw-Teitelboim Gravity and Lorentzian Quantum Cosmology
• Non-extremal Island in de Sitter Gravity
• Massive fields and Wilson spools in JT gravity
• Asymptotic Symmetry and Classical holographic dual of $d{S}_3$ supergravity
• Aspects of Jackiw-Teitelboim Gravity in Anti-de Sitter and de Sitter spacetime
• JT de Sitter Gravity as a Model of Coleman-de Luccia Tunneling
• Gravitational thermodynamics without the conformal factor problem: Partition functions and Euclidean saddles from Lorentzian Path Integrals
• Euclidean and complex geometries from real-time computations of gravitational Rényi entropies
• Beyond the ensemble paradigm in low dimensional quantum gravity: Schwarzian density, quantum chaos and wormhole contributions
• On the Euclidean Action of de Sitter Black Holes and Constrained Instantons
• The Fate of Nucleated Black Holes in de Sitter Quantum Gravity
• Functional Determinants for Constrained Path Integrals in Minisuperspace Jackiw-Teitelboim Gravity