Liouville theory and Matrix models: A Wheeler DeWitt perspective
arXiv:2004.00002 · doi:10.1007/JHEP09(2020)125
Abstract
We analyse the connections between the Wheeler DeWitt approach for two dimensional quantum gravity and holography, focusing mainly in the case of Liouville theory coupled to matter. Our motivation is to understand whether some form of averaging is essential for the boundary theory, if we wish to describe the bulk quantum gravity path integral of this two dimensional example. The analysis hence, is in a spirit similar to the recent studies of Jackiw-Teitelboim (JT)-gravity. Macroscopic loop operators define the asymptotic region on which the holographic boundary dual resides. Matrix quantum mechanics (MQM) and the associated double scaled fermionic field theory on the contrary, is providing an explicit "unitary in superspace" description of the complete dynamics of such two dimensional universes with matter, including the effects of topology change. If we try to associate a Hilbert space to a single boundary dual, it seems that it cannot contain all the information present in the non-perturbative bulk quantum gravity path integral and MQM.
arXiv comment54 pages, 13 figures, added references and improved discussion
References in corpus (38)
- M Theory As A Matrix Model: A Conjecture
- Random Matrix Theories in Quantum Physics: Common Concepts
- Comments on the Sachdev-Ye-Kitaev model
- Chaos in AdS holography
- Matrix String Theory
- Invasion of the Giant Gravitons from Anti-de Sitter Space
- Wormholes in AdS
- Fermionic Localization of the Schwarzian Theory
- Transcending the ensemble: baby universes, spacetime wormholes, and the order and disorder of black hole information
- Strings from Tachyons
- Integrable Structure of Interface Dynamics
- Branes, Rings and Matrix Models in Minimal (Super)string Theory
- Power-law out of time order correlation functions in the SYK model
- A Matrix Model Dual of Type 0B String Theory in Two Dimensions
- Conformal maps and dispersionless integrable hierarchies
- D-brane Decay in Two-Dimensional String Theory
- Classical and Quantum D-branes in 2D String Theory
- Low-dimensional de Sitter quantum gravity
- New Principles for String/Membrane Unification
- Exact vs. Semiclassical Target Space of the Minimal String
- Baby Universes in String Theory
- Holographic No-Boundary Measure
- AdS Holographic Dictionary
- Laplacian Growth and Whitham Equations of Soliton Theory
- Coadjoint orbit action of Virasoro group and two-dimensional quantum gravity dual to SYK/tensor models
- Invitation to Random Tensors
- Chaotic strings in AdS/CFT
- JT gravity, KdV equations and macroscopic loop operators
- Non-relativistic Fermions, Coadjoint Orbits of \winf\ and String Field Theory at
- Space-Time in the SYK Model
- The Black Hole S-Matrix from Quantum Mechanics
- Integrable Structure of the Dirichlet Boundary Problem in Multiply-Connected Domains
- Closed String Tachyon Condensation and Worldsheet Inflation
- Rectangular Matrix Models and Combinatorics of Colored Graphs
- Euclidean Wormholes and Holography
- From polymers to quantum gravity: triple-scaling in rectangular matrix models
- Matrix Quantum Mechanics on
- ZZ boundary states and fragmented AdS2 spaces
Cited by in corpus (24)
- Liouville quantum gravity -- holography, JT and matrices
- AdS Euclidean wormholes
- Euclidean wormhole in the SYK model
- Explorations of Non-Perturbative JT Gravity and Supergravity
- JT Supergravity, Minimal Strings, and Matrix Models
- Holography from the Wheeler-DeWitt equation
- Interacting systems and wormholes
- On aspects of 2-dim dilaton gravity, dimensional reduction and holography
- A JT supergravity as a double-cut matrix model
- A universe field theory for JT gravity
- JT Gravity Limit of Liouville CFT and Matrix Model
- Degenerate operators in JT and Liouville (super)gravity
- From black holes to baby universes in CGHS gravity
- Microstates of a Black Hole in string theory
- Emergent gravity from hidden sectors and TT deformations
- The double cone geometry is stable to brane nucleation
- Replica Wormholes from Liouville Theory
- Baby Universes born from the Void
- Baby universes in 2d and 4d theories of quantum gravity
- JT Gravity in de Sitter Space and Its Extensions
- Aspects of Jackiw-Teitelboim Gravity in Anti-de Sitter and de Sitter spacetime
- CDT and Horava-Lifshitz QG in Two Dimensions
- Ensemble averaging in JT gravity from entanglement in Matrix Quantum Mechanics
- Pseudo-hermitian Chebyshev differential matrix and non-Hermitian Liouville quantum mechanics