The DSSYK model emerges as the dynamics on the quantum homogeneous space of the von Neumann algebraic quantum group SU_q(1,1) ⋊ Z2.
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Jt gravity with mat- ter, generalized eth, and random matri- ces
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Develops a constrained particle-on-group formulation of super-JT gravity that yields super-Schwarzian actions, physical supercharges, and explicit N=2/N=4 three-point functions plus zero-energy OTOCs.
Near-extremal charged black holes make decoherence of charged particle superpositions vanish at late times via a spin-induced energy gap from quantum metric fluctuations.
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.
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.
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.
Introduces cap amplitude ψ(b) in one-matrix models and interprets the dilaton equation for discrete volumes N_{g,n} as boundary gluing that reduces n by one.
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.
In the fully chaotic regime of the kicked top, long-time freeness is reached exponentially fast, accompanied by a hierarchy of time scales indicating a multifractal approach.
Moments of the DSSYK transfer matrix equal an ASEP stationary-product state overlap, presented as analogous to the strange correlator in topological state-sum models.
Numerical confirmation that SYK models reproduce RMT spectral edge statistics, yielding power-law quenched entropy at low T and enabling large-N entanglement entropy calculations for supersymmetric wormholes.
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.