REVIEW 33 cited by
Gravity and the Crossed Product
Not yet reviewed by Pith; the record is open.
This paper has not been read by Pith yet. Machine review is queued; the pith claim, tier, and objections will appear here once it completes.
SPECIMEN: schema-true, not a live event
T0 review · schema-true
One-sentence machine reading of the paper's core claim.
pith:XXXXXXXX · record.json · timestamp
abstract
Recently Leutheusser and Liu [1,2] identified an emergent algebra of Type III$_1$ in the operator algebra of ${\mathcal N}=4$ super Yang-Mills theory for large $N$. Here we describe some $1/N$ corrections to this picture and show that the emergent Type III$_1$ algebra becomes an algebra of Type II$_\infty$. The Type II$_\infty$ algebra is the crossed product of the Type III$_1$ algebra by its modular automorphism group. In the context of the emergent Type II$_\infty$ algebra, the entropy of a black hole state is well-defined up to an additive constant, independent of the state. This is somewhat analogous to entropy in classical physics.
Forward citations
Cited by 33 Pith papers
-
Uniqueness of null-local modular flow
For the free massless scalar in a Minkowski causal diamond, the vacuum is the unique state or weight in the vacuum sector whose modular flow is local on the null boundary.
-
JT gravity on the worldline
Coupling a worldline observer to JT gravity replaces its evolution operator by an exactly computed average over fluctuating Euclidean times; the fluctuations are small in the disk but large on the double trumpet.
-
A de Sitter Anti-Scrambling Algebra
In a toy model of de Sitter quantum gravity, shockwave time advances break the KMS condition and prevent the Hartle-Hawking state from being a trace on the observer's crossed-product algebra.
-
No off-diagonal quantum focusing for R\'enyi divergences
No Rényi-type divergence obeying DPI, tensor additivity and matched cq conditioning admits a universal off-diagonal quantum focusing inequality.
-
Quantization of Gravity on Null Hypersurfaces
An operator-algebraic quantization of the characteristic initial-value problem yields a candidate on-shell algebra for a gravitational subregion bounded by two null hypersurfaces.
-
Edge Modes on Stringy Horizons
Summing Harish-Chandra character edge terms over the full string tower gives a modular-invariant, UV-finite Rindler-horizon edge partition function (Eq. 38).
-
The Making of von Neumann Algebras from Bulk Focusing
A boundary region's infinite-N operator algebra is a von Neumann algebra exactly when its generalized causal wedge closes on the same region; null geodesic focusing is the bulk mechanism.
-
The algebraic structure of gravitational scrambling
The paper builds an operator algebra, the modular-twisted product, that captures black hole scrambling exactly at the scrambling time and reduces to previously known free and tensor product algebras in the appropriate limits.
-
Geometric modular flows in 2d CFT and beyond
In 2d CFTs, every suitably regular Unruh flow on the Rindler wedge is the modular flow of a state obtained by a conformal unitary acting on the vacuum or thermal state, and local entropy and stress-tensor formulas follow.
-
Symmetric Product Orbifold Universality and the Mirage of an Emergent Spacetime
Symmetric product orbifolds have large-N thermal correlators identical to BTZ, undercutting the claim that a type III1 von Neumann algebra implies a sharp emergent horizon.
-
Dressed Subsystems in Classical Gravity
Internally dressed subsystems, whose boundaries are located by fields within the region, are exactly those whose observables close under Poisson brackets in generally covariant theories.
-
Holographic observers for time-band algebras
In the presence of a macroscopic observer, the boundary time-band algebra in AdS can be deformed into a type II crossed-product algebra with a commutant, and the modular crossed product is the unique such algebra admi...
-
QG from SymQRG: AdS$_3$/CFT$_2$ Correspondence as Topological Symmetry-Preserving Quantum RG Flow
A framework called SymQRG identifies 3D quantum gravity as the symmetry-preserving RG flow of 2D CFTs, realized discretely by U_q(SL(2,R)) 6j symbols.
-
The mini-Page Curve in Cosmology
In 2D centaur geometries the entropy difference of a modular-conjugate Hawking-pair probe traces an inverse mini-Page curve that bottoms at τ≈β/8, marking when information begins to leave the cosmological horizon.
-
Falling through the horizon of a quantum black hole
Gravitational dressing in JT gravity lets an infalling Unruh-DeWitt detector detect the horizon location and temperature locally, violating the equivalence principle without a firewall.
-
Holography in the linearized quantum gravity regime and modular crossed product
At linearized order, the vacuum-subtracted HRT entropy of a boundary region is the entropy of a coherent graviton state in the modular crossed-product algebra of the dual CFT, assuming a wedge-reconstructing holographic map.
-
Toward an Observable Algebra for de Sitter Space: Gap Protection and Modular Dressings
In global dS2 the fundamental complement of a finite union of arcs is empty unless some complementary gap has length at least π; a commutant-based algebra model reproduces this and exhibits a discontinuous 'activation...
-
Reduced Quantum-Reference-Frame Channels for Open Quantum Systems
Reduced QRF channels preserve pure-dephasing populations iff dynamically compatible with the controlled evolution, and Hamiltonian-symmetric frame changes split local decoherence rates into environmental plus referenc...
-
Black hole thermodynamics at null infinity. Part 2: Open systems, Markovian dynamics and work extraction from non-rotating black holes
Null-infinity black hole thermodynamics is recast as Markovian open-system thermodynamics, with chemical-potential terms identified as extractable work and used to formulate generalized grand-potential laws for Schwar...
-
Tests of restricted Quantum Focusing and a new CFT bound
From rQFC, a new CFT bound follows that forbids the QNEC from saturating faster than O(Σ^{d−2}) in near-vacuum states, while rQFC is proven in JT gravity and explicit QFC counterexamples are constructed.
-
Cosmological correlators in gravitationally-constrained de Sitter states
Cosmological correlators in gravitationally constrained de Sitter states are conformally invariant and differ from QFT vacuum correlators, but relational observables with a heavy background state can reproduce QFT results.
-
On the relation between perspective-neutral, algebraic, and effective quantum reference frames
For ideal quantum reference frames with a single constraint, the perspective-neutral, algebraic, and effective semiclassical approaches describe the same physics and the same frame-switching rules.
-
Probing the singularity at the holographic screen via $q$-holography
The probe-regime two-point function of sinh dilaton gravity matches the q-deformed Ward identity correlator, indicating an emergent quantum hyperbolic disk with SLq(2) isometry near the holographic boundary.
-
Algebras, Entanglement Islands, and Observers
Entanglement islands in the AdS/bath island model realize the quantum-gravity 'observer' as a Goldstone vector mode, making the island operator algebra an emergent Type II∞ von Neumann algebra.
-
Crossed products and quantum reference frames: on the observer-dependence of gravitational entropy
Gravitational subregion entropy is observer-dependent: different quantum clocks produce different von Neumann algebras and different entropy functionals for the same global state.
-
Brickwall One-Loop Determinant: Spectral Statistics & Krylov Complexity
In the brickwall model of a BTZ black hole, hand-tuned Gaussian randomness at a stretched horizon reproduces random-matrix-theory spectral statistics and Krylov complexity peaks for scalar and fermionic probes.
-
Black hole thermodynamics at null infinity. Part 1: Dual Generalized Second Law
At future null infinity, the generalized second law for a Schwarzschild black hole becomes the monotonic decrease of a free energy, or grand potential, constructed from the Bondi mass and angular-mode chemical potentials.
-
Observer Time from Causality in Perturbative Quantum Gravity
A lightbulb-and-mirror protocol defines diffeomorphism-invariant elapsed proper time, and its leading quantum gravity correction makes the time a noncommuting quantum operator.
-
On the Underlying Nonrelativistic Nature of Relativistic Holography
Standard AdS/CFT duality is reinterpreted as D-brane/black-brane duality in nonrelativistic D3-brane theory, with AdS5×S5 as a relativistic bubble in flat 3-Newton-Cartan geometry.
-
A classical model for semiclassical state-counting
A classical phase-space analogy reproduces the state-counting interpretation of type II entropy differences and shows how the symplectomorphism restriction emerges from quantum mechanics in the classical limit.
-
The Crossed Product, Modular (Tomita) Dynamics and its Role in the Transition of Type $III$ to Type $II_{\infty}$ v.Neumann Algebras and Connections to Quantum Gravity
A review of Takesaki crossed product duality plus an unproven conjecture that modular Hamiltonian evolution of vacuum fluctuations is the microscopic mechanism of gravitational time dilation.
-
Quantum gravity observables: observation, algebras, and mathematical structure
A perspective arguing that gravitationally dressed observables generalize crossed product algebras and that quantum gravity may need non-algebraic structure on Hilbert space.
-
Schwinger instability, modular flow, and holographic entropy for near-extremal charged BTZ black hole
A semiclassical study of charged pair creation and horizon entropy in near-extremal charged BTZ, whose central alignment claim is not actually established by the calculations.
Discussion (0). Continue with ORCID to comment.