DSSYK∞ at infinite temperature duals in the flat-space limit to the 't Hooft model, and holographic entropy at TB=∞ forbids quantum corrections to the vacuum energy.
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Infinite Temperature is Not So Infinite: The Many Temperatures of de Sitter Space
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abstract
Several distinct concepts of temperature appear in the holographic description of de Sitter space. Conflating these has led to confusion and inconsistent claims. The double-scaled limit of SYK is a concrete model in which we can examine and explain these different concepts of temperature. This note began as an addendum to our paper ``Comments on a Paper by Narovlansky and Verlinde" but in the process of writing it we learned new things -- interesting in their own right -- that we wish to report here.
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A constrained product of two dressed one-sided dS quantum systems yields a holographic dual whose top-band TFD and lower tall states capture the future wedge and overlapping causal wedges.
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.
A first-order phase transition in the Berkooz-Brukner-Jia-Mamroud interpolating model causes chord number, Krylov complexity, and operator size to switch discontinuously from chaotic (linear/exponential) to quasi-integrable (quadratic) growth.
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.
citing papers explorer
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Holograms and Standard Models
DSSYK∞ at infinite temperature duals in the flat-space limit to the 't Hooft model, and holographic entropy at TB=∞ forbids quantum corrections to the vacuum energy.
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The yes boundaries wavefunctions of the universe
A constrained product of two dressed one-sided dS quantum systems yields a holographic dual whose top-band TFD and lower tall states capture the future wedge and overlapping causal wedges.
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Cosmological Entanglement Entropy from the von Neumann Algebra of Double-Scaled SYK & Its Connection with Krylov Complexity
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.
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Probing the Chaos to Integrability Transition in Double-Scaled SYK
A first-order phase transition in the Berkooz-Brukner-Jia-Mamroud interpolating model causes chord number, Krylov complexity, and operator size to switch discontinuously from chaotic (linear/exponential) to quasi-integrable (quadratic) growth.
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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.
- q-Askey Deformations of Double-Scaled SYK
- Deforming the Double-Scaled SYK & Reaching the Stretched Horizon From Finite Cutoff Holography
- Von Neumann Algebras in Double-Scaled SYK