Large p SYK from chord diagrams

2023/03/06 by Baur Mukhametzhanov, Mukhametzhanov, Baur · 4 citations
Physics and Astronomy · #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Particle physics theoretical and experimental studies #Strongly Correlated Electrons (cond-mat.str-el)

paper · pdf · doi:10.48550/arxiv.2303.03474

openalex publication_date 2023/03/06 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/01

Abstract

The p-body SYK model at finite temperature exhibits submaximal chaos and contains stringy-like corrections to the dual JT gravity. It can be solved exactly in two different limits: "large p" SYK 1 ≪ p ≪ N and "double-scaled" SYK N,p → ∞ with λ= 2 p²/N fixed. We clarify the relation between the two. Starting from the exact results in the double-scaled limit, we derive several observables in the large p limit. We compute euclidean 2n-point correlators and out-of-time-order four-point function at long lorentzian times. To compute the correlators we find the relevant asymptototics of the U_q(su(1,1)) 6j-symbol.

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