JT gravity in a box is quantized exactly by recasting its dynamics as Pöschl-Teller scattering, producing closed-form wavefunctions and correlators with finite-cutoff corrections beyond T Tbar.
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JT Gravity and the Ensembles of Random Matrix Theory
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We generalize the recently discovered relationship between JT gravity and double-scaled random matrix theory to the case that the boundary theory may have time-reversal symmetry and may have fermions with or without supersymmetry. The matching between variants of JT gravity and matrix ensembles depends on the assumed symmetries. Time-reversal symmetry in the boundary theory means that unorientable spacetimes must be considered in the bulk. In such a case, the partition function of JT gravity is still related to the volume of the moduli space of conformal structures, but this volume has a quantum correction and has to be computed using Reidemeister-Ray-Singer "torsion." Presence of fermions in the boundary theory (and thus a symmetry $(-1)^F$) means that the bulk has a spin or pin structure. Supersymmetry in the boundary means that the bulk theory is associated to JT supergravity and is related to the volume of the moduli space of super Riemann surfaces rather than of ordinary Riemann surfaces. In all cases we match JT gravity or supergravity with an appropriate random matrix ensemble. All ten standard random matrix ensembles make an appearance -- the three Dyson ensembles and the seven Altland-Zirnbauer ensembles. To facilitate the analysis, we extend to the other ensembles techniques that are most familiar in the case of the original Wigner-Dyson ensemble of hermitian matrices. We also generalize Mirzakhani's recursion for the volumes of ordinary moduli space to the case of super Riemann surfaces.
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The super Virasoro minimal string arises from quantizing 3d supergravity, with 0A+ and 0B+ dual to the bosonic minimal string matrix integral, 0B- to one with inverse square root singularity, and 0A- having vanishing non-trivial perturbative amplitudes.
The Stanford-Witten-Norbury volume recursion is shown to be directly derivable from a spectral curve that computes the Laplace transforms of the volumes using topological recursion.
A random matrix model is built to compute the WP volumes V^{(2m)}_{g,n}({b_i}) for super-Riemann surfaces with NS boundaries and 2m R-punctures, yielding the previously missing spectral curve and closed-form expressions via topological recursion.
Projective geometry and Cayley transformations provide a common framework for the free particle-oscillator correspondences via the Schwarzian cocycle.
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.
Correlators of many integrable models are specializations of universal formulae built from one defining function via KdV/Gel'fand–Dikii structure, including a new closed form for V_{4,n}.
The charge-sector coefficient of the Type-IIB axion-dilaton wormhole partition function is shown to be a chiral Wishart hard-edge limit of the D(-1)/D3 super-ADHM collective-coordinate integral.
Explicit computation of instanton-induced amplitudes in minimal superstring theories at subleading order, after regulating open-string degenerations with string field theory, yields exact agreement with DDK-KPZ scaling.
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.
Non-planar corrections lift degeneracies in the spectrum of quarter BPS states in Sym^N(T^4) and introduce level repulsion plus random matrix statistics, showing integrability is restricted to the large N planar limit.
Finite graphs define spectral curves that converge to stable curves in the continuum limit, connecting to topological recursion and replacing BKL singularities with nodal chains of rational curves whose entropy derives from automorphism groups.
At large central charge, BCFT von Neumann entropy with deformed boundaries is reproduced by island entropy in an emergent JT gravity setup with transparent boundary conditions set by the deformation.
Establishes a threefold duality linking Krylov complexity growth rate to wormhole velocity and proper momentum in DSSYK holography, with higher moments capturing replica wormholes and Krylov entropy equaling parent-geometry von Neumann entropy after tracing baby universes.
A semiclassical construction of fiducial observers in JT gravity, fixed by conformal isometry flow, is extended to the quantum regime to compute wormhole contributions yielding finite thermal entropy and a quantum description of the stretched horizon.
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.
Staggered fermions in 2+1d show modulo 8 parity/time-reversal anomalies that match between lattice and continuum when placed on tori and Klein bottles via a nontrivial symmetry map.
Finite cutoff in JT gravity causes faster ERB-length saturation, deformation-dependent baby-universe emission only under Lorentzian evolution, and possible one-cut universality corrections in the matrix dual.
Explicit reconstructions in modified near-horizon AdS2 and BTZ geometries recover prior non-locality estimates controlled by a throat parameter and exhibit dip-ramp-plateau spectral form factors in 3D.
A survey of non-invertible symmetries with constructions in the Ising model and applications to neutral pion decay and other systems.
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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Quantum JT Gravity in a box as a P\"oschl-Teller Scattering Problem
JT gravity in a box is quantized exactly by recasting its dynamics as Pöschl-Teller scattering, producing closed-form wavefunctions and correlators with finite-cutoff corrections beyond T Tbar.
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The Super Virasoro Minimal String from 3d Supergravity
The super Virasoro minimal string arises from quantizing 3d supergravity, with 0A+ and 0B+ dual to the bosonic minimal string matrix integral, 0B- to one with inverse square root singularity, and 0A- having vanishing non-trivial perturbative amplitudes.
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$N=1$ Supersymmetry, Weil-Petersson Volume Recursion, and a Spectral Curve
The Stanford-Witten-Norbury volume recursion is shown to be directly derivable from a spectral curve that computes the Laplace transforms of the volumes using topological recursion.
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Ramond from Random: Weil-Petersson Volumes for Super-Riemann surfaces with NS Boundaries and R Punctures
A random matrix model is built to compute the WP volumes V^{(2m)}_{g,n}({b_i}) for super-Riemann surfaces with NS boundaries and 2m R-punctures, yielding the previously missing spectral curve and closed-form expressions via topological recursion.
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Projective Time, Cayley Transformations and the Schwarzian Geometry of the Free Particle--Oscillator Correspondence
Projective geometry and Cayley transformations provide a common framework for the free particle-oscillator correspondences via the Schwarzian cocycle.
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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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Universal formulae for correlators of a broad class of models
Correlators of many integrable models are specializations of universal formulae built from one defining function via KdV/Gel'fand–Dikii structure, including a new closed form for V_{4,n}.
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The Chiral Random-Matrix Ensemble of the Type-IIB Axion--Dilaton Wormhole Partition Function
The charge-sector coefficient of the Type-IIB axion-dilaton wormhole partition function is shown to be a chiral Wishart hard-edge limit of the D(-1)/D3 super-ADHM collective-coordinate integral.
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Instanton-Induced Closed-String Amplitudes in Minimal Superstring Theory at Subleading Order
Explicit computation of instanton-induced amplitudes in minimal superstring theories at subleading order, after regulating open-string degenerations with string field theory, yields exact agreement with DDK-KPZ scaling.
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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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Non-planar corrections in the symmetric orbifold
Non-planar corrections lift degeneracies in the spectrum of quarter BPS states in Sym^N(T^4) and introduce level repulsion plus random matrix statistics, showing integrability is restricted to the large N planar limit.
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From Graph Laplacians to String Partition Functions: A Rigorous Pathway from Discrete Spectra to Emergent Geometry
Finite graphs define spectral curves that converge to stable curves in the continuum limit, connecting to topological recursion and replacing BKL singularities with nodal chains of rational curves whose entropy derives from automorphism groups.
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Large-c BCFT Entanglement Entropy with Deformed Boundaries from Emergent JT Gravity
At large central charge, BCFT von Neumann entropy with deformed boundaries is reproduced by island entropy in an emergent JT gravity setup with transparent boundary conditions set by the deformation.
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Toward Krylov-based holography in double-scaled SYK
Establishes a threefold duality linking Krylov complexity growth rate to wormhole velocity and proper momentum in DSSYK holography, with higher moments capturing replica wormholes and Krylov entropy equaling parent-geometry von Neumann entropy after tracing baby universes.
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Fiducial observers and the thermal atmosphere in the black hole quantum throat
A semiclassical construction of fiducial observers in JT gravity, fixed by conformal isometry flow, is extended to the quantum regime to compute wormhole contributions yielding finite thermal entropy and a quantum description of the stretched horizon.
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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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Tori, Klein Bottles, and Modulo 8 Parity/Time-reversal Anomalies of 2+1d Staggered Fermions
Staggered fermions in 2+1d show modulo 8 parity/time-reversal anomalies that match between lattice and continuum when placed on tori and Klein bottles via a nontrivial symmetry map.
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Finite cutoff JT gravity: Baby universes, Matrix dual, and (Krylov) Complexity
Finite cutoff in JT gravity causes faster ERB-length saturation, deformation-dependent baby-universe emission only under Lorentzian evolution, and possible one-cut universality corrections in the matrix dual.
-
Near-horizon modifications in finite $N$ holography
Explicit reconstructions in modified near-horizon AdS2 and BTZ geometries recover prior non-locality estimates controlled by a throat parameter and exhibit dip-ramp-plateau spectral form factors in 3D.
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What's Done Cannot Be Undone: TASI Lectures on Non-Invertible Symmetries
A survey of non-invertible symmetries with constructions in the Ising model and applications to neutral pion decay and other systems.
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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.