A solvable 3d quantum gravity model is defined by summing Virasoro TQFT copies over all topologies, shown to be dual to a 2d CFT ensemble and to exhibit semiclassical features such as cured negative density of states and Hawking-Page transition in the large-c limit.
AdS 3 gravity and random CFT,
14 Pith papers cite this work. Polarity classification is still indexing.
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Non-orientable topological gravity produces a resummed topological expansion whose late-time behavior matches the GOE universality class of random matrix theory for time-reversal invariant chaotic systems.
High-energy CFT and black-hole interval counts are conjectured to obey the FHK extreme-value law; the resulting O(1) erratic fluctuations limit semiclassical AdS precision to e^{-S0}.
Using worldline formalism and geometric quantization, the partition function for 3D gravity with matter on thermal AdS3 is computed via equivariant localization, reproducing the Wilson spool and conjecturing the all-orders result.
Proposes an SL(2,Z) sum of Kerr-lens geometries in 3d dS gravity whose spectral density is computed via crosscap amplitudes in CLS ⊗ CLS, matching semi-classical predictions and reducing in a simple case to GΣ ⊗ GΣ on the observer worldline.
Finite-N non-planar mixing in the D1D5 CFT produces level repulsion and random-matrix statistics in symmetry-resolved sectors, while the planar large-N limit yields Poisson statistics.
Open Virasoro TQFT equals fixed-length/angle 3d gravity path integrals on compact regions and yields the CTV–scalar Virasoro relation via open-closed duality.
Generalized Euclidean wormhole constructions in 3D gravity produce holographic duals to approximately homogeneous closed baby-universe cosmologies and identify a necessary condition for the cosmological saddle to dominate the path integral.
3d gravity on Σ_{g,n} × I with EOW branes equals the Virasoro minimal string random matrix model, with exact match for g=0 n=2 and inner-product formulation for negative Euler characteristic.
Introduces RMT surgery to relate off-shell 3D gravity partition functions to CFT spectral statistics via Euclidean wormholes with four-punctured sphere and trumpet boundaries.
The paper shows that Euclidean axion wormholes remain regular and stable in AdS3 for any mouth radius to AdS radius ratio and across topologies, with computable actions that can be included in the 3D gravitational path integral.
Reconstructs spacetime metric, curvature, and Einstein equations from matter field operator algebras in the G to 0 limit without using Bekenstein-Hawking area law, then models finite-N discrete spectra via random matrix completion of enlarged type III algebras.
Lecture notes deliver a self-contained pedagogical overview of worldsheet strings in AdS3 with NSNS flux, summarizing 25 years of results with emphasis on spectrally flowed correlation functions.
A review of the chaos-assisted holographic correspondence linking the SYK model to 2D JT gravity, including the need for string theory corrections at fine quantum scales.
citing papers explorer
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A solvable model of 3d quantum gravity
A solvable 3d quantum gravity model is defined by summing Virasoro TQFT copies over all topologies, shown to be dual to a 2d CFT ensemble and to exhibit semiclassical features such as cured negative density of states and Hawking-Page transition in the large-c limit.
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Mind the crosscap: $\tau$-scaling in non-orientable gravity and time-reversal-invariant systems
Non-orientable topological gravity produces a resummed topological expansion whose late-time behavior matches the GOE universality class of random matrix theory for time-reversal invariant chaotic systems.
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Black Holes and Random Variables
High-energy CFT and black-hole interval counts are conjectured to obey the FHK extreme-value law; the resulting O(1) erratic fluctuations limit semiclassical AdS precision to e^{-S0}.
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What's the Matter with 3D Gravity?
Using worldline formalism and geometric quantization, the partition function for 3D gravity with matter on thermal AdS3 is computed via equivariant localization, reproducing the Wilson spool and conjecturing the all-orders result.
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An observer's quantization of 3d de Sitter
Proposes an SL(2,Z) sum of Kerr-lens geometries in 3d dS gravity whose spectral density is computed via crosscap amplitudes in CLS ⊗ CLS, matching semi-classical predictions and reducing in a simple case to GΣ ⊗ GΣ on the observer worldline.
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Signatures of Quantum Chaos in the D1D5 System
Finite-N non-planar mixing in the D1D5 CFT produces level repulsion and random-matrix statistics in symmetry-resolved sectors, while the planar large-N limit yields Poisson statistics.
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The many facets of a hyperbolic tetrahedron: open and closed triangulations of 3d gravity
Open Virasoro TQFT equals fixed-length/angle 3d gravity path integrals on compact regions and yields the CTV–scalar Virasoro relation via open-closed duality.
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Menagerie of Euclidean constructions for 3D holographic cosmologies
Generalized Euclidean wormhole constructions in 3D gravity produce holographic duals to approximately homogeneous closed baby-universe cosmologies and identify a necessary condition for the cosmological saddle to dominate the path integral.
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On random matrix statistics of 3d gravity
3d gravity on Σ_{g,n} × I with EOW branes equals the Virasoro minimal string random matrix model, with exact match for g=0 n=2 and inner-product formulation for negative Euler characteristic.
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Surgery and statistics in 3d gravity
Introduces RMT surgery to relate off-shell 3D gravity partition functions to CFT spectral statistics via Euclidean wormholes with four-punctured sphere and trumpet boundaries.
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AdS3 axion wormholes as stable contributions to the Euclidean gravitational path integral
The paper shows that Euclidean axion wormholes remain regular and stable in AdS3 for any mouth radius to AdS radius ratio and across topologies, with computable actions that can be included in the 3D gravitational path integral.
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Spacetime from Operator Algebras
Reconstructs spacetime metric, curvature, and Einstein equations from matter field operator algebras in the G to 0 limit without using Bekenstein-Hawking area law, then models finite-N discrete spectra via random matrix completion of enlarged type III algebras.
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Lecture notes on strings in AdS$_3$ from the worldsheet and the AdS$_3$/CFT$_2$ duality
Lecture notes deliver a self-contained pedagogical overview of worldsheet strings in AdS3 with NSNS flux, summarizing 25 years of results with emphasis on spectrally flowed correlation functions.
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Quantum chaos and the holographic principle
A review of the chaos-assisted holographic correspondence linking the SYK model to 2D JT gravity, including the need for string theory corrections at fine quantum scales.