A Solvable Model of Flat Space Holography

Abstract

We propose an explicit realization of flat space holography in two dimensions where both sides of the duality are independently defined and the boundary theory is completely solvable. In the bulk, we define a novel $\mathcal{N}=1$ flat space supergravity theory and exactly compute the full topological expansion of its Euclidean partition function with an arbitrary number of boundaries. On the boundary, we consider a double scaled Hermitian random matrix model with Gaussian potential and use the loop equations to show it independently reproduces the bulk partition function to all orders in the topological expansion. The non-perturbative completion of the supergravity theory provided by the solvable Gaussian matrix model allows for the exact, and in many cases analytic, computation of observables in flat space quantum gravity.

arXiv comment39 pages, 4 figures

References in corpus (36)

• Novel Symmetry Classes in Mesoscopic Normal-Superconducting Hybrid Structures
• 2D Gravity and Random Matrices
• Evanescent Black Holes
• Replica Wormholes and the Entropy of Hawking Radiation
• The entropy of bulk quantum fields and the entanglement wedge of an evaporating black hole
• All genus correlation functions for the hermitian 1-matrix model
• Fermionic Localization of the Schwarzian Theory
• On the Numerical Evaluation of Fredholm Determinants
• Lectures on Celestial Amplitudes
• Gauge Invariant Formulations of Lineal Gravity
• Asymptotic symmetries and dynamics of three-dimensional flat supergravity
• Free Energy from Replica Wormholes
• Near-Horizon Geometry and Warped Conformal Symmetry
• Menagerie of AdS${}_2$ boundary conditions
• Flat space holography and complex SYK
• Maxwell Superalgebra and Superparticle in Constant Gauge Backgrounds
• Tensor extension of the Poincaré algebra
• Limits of JT gravity
• New boundary conditions for AdS${}_2$
• Towards a bulk description of higher spin SYK
• Deformations of Maxwell Superalgebras and Their Applications
• Chern-Simons Supergravity in D=3 and Maxwell superalgebra
• Symmetry Breaking, Central Charges and the AdS_2/CFT_1 Correspondence
• Boundary theories for dilaton supergravity in 2D
• Warped Schwarzian theory
• Spin structures and baby universes
• Flat JT Gravity and the BMS-Schwarzian
• From black holes to baby universes in CGHS gravity
• New boundary conditions for (extended) ${\mathrm{AdS}}_3$ supergravity
• Two Dimensional Gauge Theoretic Supergravities
• A Celestial Matrix Model
• Topological Two Dimensional Dilaton Supergravity
• Phase transitions for deformations of JT supergravity and matrix models
• Flat space holography in spin-2 extended dilaton-gravity
• Topological Dilatonic Supergravity Theories
• Quantum Gravity Microstates from Fredholm Determinants

Cited by in corpus (7)

• A Matrix Model for Flat Space Quantum Gravity
• Non-Perturbative Random Matrix Model of $\mathcal{N}=2$ JT Supergravity
• Classification of Conformal Carroll Algebras
• Holography in CGHS supergravity
• Entanglement Rényi entropies in celestial holography
• CFT reconstruction of local bulk operators in half-Minkowski space
• Unimodular time in JT gravity: a holographic clock