Deterministic Hypergraph SYK: Melonic Dominance and Maximal Chaos Without Disorder Averaging

arXiv:2609.19255 · hep-th, cond-mat.str-el, quant-ph · Submitted 2026-09-16 · Read on arXiv

hep-th, cond-mat.str-el, quant-ph

Submitted: 2026-09-16

Updated: 2026-09-16

Terminology

• Hypergraph — 42× in this paper · explained in 2 episodes
• Axioms — 16× in this paper · explained in 2 episodes
• Spectral Gap — 16× in this paper · explained in 5 episodes
• SYK Model — 8× in this paper · explained in 2 episodes
• Homogeneity — 5× in this paper · explained in 2 episodes
• Sparsity — 5× in this paper · explained in 4 episodes
• Chaotic Dynamics — 4× in this paper · explained in 2 episodes
• Homogenization — 4× in this paper · explained in 2 episodes
• Adjacency Matrix — 3× in this paper · explained in 1 episode
• Pruning — 3× in this paper · explained in 4 episodes
• Benchmark — 2× in this paper · explained in 2 episodes
• Consistency — 1× in this paper · explained in 3 episodes
• Hilbert Space — 1× in this paper · explained in 2 episodes
• Redundancy — 1× in this paper · explained in 2 episodes
• Spectral Signature — 1× in this paper · explained in 2 episodes
• Universality Class — 1× in this paper · explained in 2 episodes

Sources

• Comments on the Sachdev-Ye-Kitaev model
• Conformal symmetry and its breaking in two dimensional Nearly Anti-de-Sitter space
• Chaos in AdS$_2$ holography
• Black Holes and Random Matrices
• Digital Quantum Simulation of Minimal AdS/CFT
• Quantum Simulation of the Sachdev-Ye-Kitaev Model by Asymmetric Qubitization
• An SYK-Like Model Without Disorder
• Uncolored Random Tensors, Melon Diagrams, and the SYK Models
• Random Matrices and Holographic Tensor Models
• Notes on Melonic $O(N)^{q-1}$ Tensor Models
• Spectra of Operators in Large $N$ Tensor Models
• Sparse SYK and traversable wormholes
• Binary-coupling sparse SYK: an improved model of quantum chaos and holography
• Spectral Form Factor in Sparse SYK Models
• Quantum chaos in the sparse SYK model
• Out-of-time-order correlators and Lyapunov exponents in sparse SYK
• Disorder-free Sachdev-Ye-Kitaev models: Integrability and a precursor of chaos
• On Large $N$ Limit of Symmetric Traceless Tensor Models
• The Spectrum in the Sachdev-Ye-Kitaev Model
• The tenfold way and many-body zero modes in the Sachdev-Ye-Kitaev model

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