The DSSYK model emerges as the dynamics on the quantum homogeneous space of the von Neumann algebraic quantum group SU_q(1,1) ⋊ Z2.
hub
Sorce,Notes on the type classification of von Neumann algebras,Rev
11 Pith papers cite this work. Polarity classification is still indexing.
hub tools
citation-role summary
citation-polarity summary
roles
background 4polarities
background 4representative citing papers
For non-invertible on-site symmetries on 2+1D lattices, Haag duality is preserved exactly only for cuspless regions (weak form with collar for cusped regions); disjoint additivity holds for group-based double models and is weakened for general Hopf algebra constraints, including extended string-net
In the Gravity from Entropy framework, spherically symmetric black holes acquire r^{-4} corrections to Schwarzschild geometry, with large-mass evaporation at constant rate -β/24 and intermediate-mass loss following the classical Hawking M^{-2} scaling.
For zero-mean Gaussian states in generalized free field theories, one-way local excitability always implies two-way excitability, generalizing the quasiequivalence theorems of Powers, Stormer, van Daele, Araki, and Yamagami.
Deformations of the double-scaled SYK model via finite-cutoff holography produce Krylov complexity as wormhole length and realize Susskind's stretched horizon proposal through targeted T² deformations in the high-energy spectrum.
Algebraic entanglement entropy from type II1 algebras in double-scaled SYK is matched via triple-scaling limits to Ryu-Takayanagi areas in (A)dS2, reproducing Bekenstein-Hawking and Gibbons-Hawking formulas for specific regions while depending on Krylov complexity of the Hartle-Hawking state.
GfE theory receives a thermodynamic treatment for FRW spacetimes, yielding emergent dynamical dark energy, k-temperatures and k-pressures obeying a first law, and non-decreasing entropy that recovers standard Friedmann cosmology at low energy.
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.
Semiclassical crossed product constructions extend the algebraic reconstruction theorem to type III algebras and yield an algebraic Ryu-Takayanagi formula for holographic duality.
Dressed relational observables imply quasi-de Sitter space corresponds to Type II_∞ von Neumann algebra with diverging trace in the gravity decoupling limit, unlike the finite-trace Type II_1 algebra for de Sitter space.
citing papers explorer
-
Spherically symmetric black holes in Gravity from Entropy and spontaneous emission
In the Gravity from Entropy framework, spherically symmetric black holes acquire r^{-4} corrections to Schwarzschild geometry, with large-mass evaporation at constant rate -β/24 and intermediate-mass loss following the classical Hawking M^{-2} scaling.
-
The Thermodynamics of the Gravity from Entropy Theory
GfE theory receives a thermodynamic treatment for FRW spacetimes, yielding emergent dynamical dark energy, k-temperatures and k-pressures obeying a first law, and non-decreasing entropy that recovers standard Friedmann cosmology at low energy.