A universe field theory for JT gravity

Abstract

We present a field theory description for the non-perturbative splitting and joining of baby universes in Euclidean Jackiw-Teitelboim (JT) gravity. We show how the gravitational path integral, defined as a sum over topologies, can be reproduced from the perturbative expansion of a Kodaira-Spencer (KS) field theory for the complex structure deformations of the spectral curve. We use that the Schwinger-Dyson equations for the KS theory can be mapped to the topological recursion relations. We refer to this dual description of JT gravity as a `universe field theory'. By introducing non-compact D-branes in the target space geometry, we can probe non-perturbative aspects of JT gravity. The relevant operators are obtained through a modification of the JT path integral with Neumann boundary conditions. The KS/JT identification suggests that the ensemble average for JT gravity can be understood in terms of a more standard open/closed duality in topological string theory.

arXiv comment67 pages, 14 figures

References in corpus (59)

• Gapless Spin-Fluid Ground State in a Random Quantum Heisenberg Magnet
• Comments on the Sachdev-Ye-Kitaev model
• AdS/CFT Correspondence and Symmetry Breaking
• Replica Wormholes and the Entropy of Hawking Radiation
• Kodaira-Spencer Theory of Gravity and Exact Results for Quantum String Amplitudes
• Chaos in AdS${}_2$ holography
• On space of integrable quantum field theories
• An Investigation of AdS${}_2$ Backreaction and Holography
• Matrix Models, Topological Strings, and Supersymmetric Gauge Theories
• Quantum Gravity Partition Functions in Three Dimensions
• The Topological Vertex
• Topological Strings and Integrable Hierarchies
• Wormholes in AdS
• All genus correlation functions for the hermitian 1-matrix model
• Fermionic Localization of the Schwarzian Theory
• On Geometry and Matrix Models
• D-Branes on Calabi-Yau Spaces and Their Mirrors
• Transcending the ensemble: baby universes, spacetime wormholes, and the order and disorder of black hole information
• $T\bar{T}$ Partition Function from Topological Gravity
• Branes, Rings and Matrix Models in Minimal (Super)string Theory
• Remodeling the B-model
• An integrable Lorentz-breaking deformation of two-dimensional CFTs
• Random Statistics of OPE Coefficients and Euclidean Wormholes
• AdS${}_3$ gravity and random CFT
• The path integral of 3D gravity near extremality; or, JT gravity with defects as a matrix integral
• The Schwarzian Theory - Origins
• A paradigm of open/closed duality: Liouville D-branes and the Kontsevich model
• Liouville quantum gravity -- holography, JT and matrices
• Exact vs. Semiclassical Target Space of the Minimal String
• The holographic interpretation of $J\bar{T}$-deformed CFTs
• Late time physics of holographic quantum chaos
• A-polynomial, B-model, and Quantization
• Developments in Topological Gravity
• $J\bar{T}$ deformed $CF{T}_2$ and String Theory
• Correlation functions, entanglement and chaos in the $T\bar{T}$/$J\bar{T}$-deformed CFTs
• JT gravity, KdV equations and macroscopic loop operators
• Chiral Deformations of Conformal Field Theories
• Eigenbranes in Jackiw-Teitelboim gravity
• JT Supergravity, Minimal Strings, and Matrix Models
• On correlation functions in $J\bar{T}$-deformed CFTs
• Partition Functions of Matrix Models as the First Special Functions of String Theory. II. Kontsevich Model
• Classifying boundary conditions in JT gravity: from energy-branes to $\alpha$-branes
• Cut-and-Join operator representation for Kontsevich-Witten tau-function
• Clocks and Rods in Jackiw-Teitelboim Quantum Gravity
• CFT and topological recursion
• From operator statistics to wormholes
• Nonperturbative Effects in Noncritical Strings with Soliton Backgrounds
• FZZT branes in JT gravity and topological gravity
• Density matrices in quantum gravity
• Liouville theory and Matrix models: A Wheeler DeWitt perspective
• Dynamics of Dirichlet-Neumann Open Strings on D-branes
• JT supergravity and Brezin-Gross-Witten tau-function
• Universal Correlators from Geometry
• A general definition of $J{T}_a$ -- deformed QFTs
• Super Quantum Airy Structures
• Deformations of JT Gravity via Topological Gravity and Applications
• Twisted vertex algebras, bicharacter construction and boson-fermion correspondences
• Lecture notes on topological recursion and geometry
• ${\mathbb{Z}}_2$ boundary twist fields and the moduli space of D-branes

Cited by in corpus (5)

• Solvable Models of Quantum Black Holes: A Review on Jackiw-Teitelboim Gravity
• An integrable road to a perturbative plateau
• Constraining Weil-Petersson volumes by universal random matrix correlations in low-dimensional quantum gravity
• The complex Liouville string: the gravitational path integral
• Quantum chaos in 2D gravity