The DSSYK model emerges as the dynamics on the quantum homogeneous space of the von Neumann algebraic quantum group SU_q(1,1) ⋊ Z2.
Susskind, A Paradox and its Resolution Illustrate Principles of de Sitter Holography, JHAP5 (2025) 1 [2304.00589]
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Using two timelike boundaries and a nearly maximally entangled thermofield double state from dressed de Sitter Hamiltonian theories, the authors construct wavefunctions for extended cosmological spacetimes that include the future wedge and resolve entanglement entropy issues via 3D constrained path
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.
Edge partition functions for totally symmetric tensors in dS_{d+1} are decomposed under so(d), with the linearized gravity case receiving contributions from shift-symmetric fields on S^{d-1} suggesting an embedded brane interpretation.
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The von Neumann algebraic quantum group $\mathrm{SU}_q(1,1)\rtimes \mathbb{Z}_2$ and the DSSYK model
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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The yes boundaries wavefunctions of the universe
Using two timelike boundaries and a nearly maximally entangled thermofield double state from dressed de Sitter Hamiltonian theories, the authors construct wavefunctions for extended cosmological spacetimes that include the future wedge and resolve entanglement entropy issues via 3D constrained path
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Deforming the Double-Scaled SYK & Reaching the Stretched Horizon From Finite Cutoff Holography
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.
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De Sitter Horizon Edge Partition Functions
Edge partition functions for totally symmetric tensors in dS_{d+1} are decomposed under so(d), with the linearized gravity case receiving contributions from shift-symmetric fields on S^{d-1} suggesting an embedded brane interpretation.