Replica wormhole geometries justify the replica trick computation of the Page curve in holographic black hole models and support entanglement wedge reconstruction via the Petz map.
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Saad,Late Time Correlation Functions, Baby Universes, and ETH in JT Gravity
15 Pith papers cite this work. Polarity classification is still indexing.
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Replica wormholes in the gravitational path integral yield the island rule for the fine-grained entropy of Hawking radiation, ensuring it follows the unitary Page curve in two-dimensional dilaton gravity.
Berry curvature of BPS states is random-matrix-like for supersymmetric black hole microstates but non-random and often zero for horizonless geometries, offering a chaos diagnostic in degenerate sectors.
Summing non-perturbative contributions in the gravitational path integral, extended via matrix integral saddles including one- and two-eigenvalue instantons, resolves negativity of bulk entropies in two-sided black holes.
Holographic complexity measures show universal linear growth followed by late-time saturation, proven necessary and sufficient via pole structures in the energy basis using the residue theorem, arising from random matrix statistics.
In a JT gravity model with an EoW brane, black hole interior complexity grows linearly until the Page time then decays exponentially, with fluctuations growing large afterward and signaling loss of self-averaging.
Numerical simulations show dynamical black hole formation in non-Markovian open JT gravity, corresponding to irreversible thermalization on the boundary.
In gapped random matrix systems with parametrically many degenerate ground states, the spectral form factor at low temperatures is dominated by the disconnected contribution at all times, while the connected form factor depends only on the non-degenerate eigenvalues.
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.
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.
The Zamolodchikov metric in Narain CFTs is realized using the Cartan matrix K_g and its inverse from finite-dimensional Lie algebras g.
Numerical study of a qutrit lattice with conserved charge shows thermalization signatures in states outside microcanonical windows of energy and charge, supporting a generalized form of ETH called generic ETH.
Krylov complexity is a canonical, parameter-independent measure of operator spreading that probes chaotic dynamics to late times and admits a geometric interpretation in holographic duals.
citing papers explorer
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Replica wormholes and the black hole interior
Replica wormhole geometries justify the replica trick computation of the Page curve in holographic black hole models and support entanglement wedge reconstruction via the Petz map.
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Replica Wormholes and the Entropy of Hawking Radiation
Replica wormholes in the gravitational path integral yield the island rule for the fine-grained entropy of Hawking radiation, ensuring it follows the unitary Page curve in two-dimensional dilaton gravity.
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Chaos of Berry curvature for BPS microstates
Berry curvature of BPS states is random-matrix-like for supersymmetric black hole microstates but non-random and often zero for horizonless geometries, offering a chaos diagnostic in degenerate sectors.
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Living on the edge: a non-perturbative resolution to the negativity of bulk entropies
Summing non-perturbative contributions in the gravitational path integral, extended via matrix integral saddles including one- and two-eigenvalue instantons, resolves negativity of bulk entropies in two-sided black holes.
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Universal Time Evolution of Holographic and Quantum Complexity
Holographic complexity measures show universal linear growth followed by late-time saturation, proven necessary and sufficient via pole structures in the energy basis using the residue theorem, arising from random matrix statistics.
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Evaporating Black Hole Interior and Complexity Evolution
In a JT gravity model with an EoW brane, black hole interior complexity grows linearly until the Page time then decays exponentially, with fluctuations growing large afterward and signaling loss of self-averaging.
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Black-hole formation and thermalization in open JT gravity
Numerical simulations show dynamical black hole formation in non-Markovian open JT gravity, corresponding to irreversible thermalization on the boundary.
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Spectral Form Factor of Gapped Random Matrix Systems
In gapped random matrix systems with parametrically many degenerate ground states, the spectral form factor at low temperatures is dominated by the disconnected contribution at all times, while the connected form factor depends only on the non-degenerate eigenvalues.
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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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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.
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Algebraic Realisation of the Zamolodchikov Metric in Narain Theories
The Zamolodchikov metric in Narain CFTs is realized using the Cartan matrix K_g and its inverse from finite-dimensional Lie algebras g.
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Generic ETH: Eigenstate Thermalization beyond the Microcanonical
Numerical study of a qutrit lattice with conserved charge shows thermalization signatures in states outside microcanonical windows of energy and charge, supporting a generalized form of ETH called generic ETH.
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Krylov Complexity
Krylov complexity is a canonical, parameter-independent measure of operator spreading that probes chaotic dynamics to late times and admits a geometric interpretation in holographic duals.