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 = 2p2/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 \( {\mathcal{U}}_q\left( su\left(1,1\right)\right) \) 6j-symbol.
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Acknowledgments
I am grateful to Tom Hartman, Henry Lin, Juan Maldacena, Joaquin Turiaci, Jinzhao Wang for useful discussions and Daniel Jafferis, David Kolchmeyer, Julian Sonner for collaboration on related topics. I am supported by NSF grant PHY-2014071. A part of this work was completed at KITP, Santa Barbara and supported by the National Science Foundation under Grant No. NSF PHY-1748958.
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Mukhametzhanov, B. Large p SYK from chord diagrams. J. High Energ. Phys. 2023, 154 (2023). https://doi.org/10.1007/JHEP09(2023)154
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DOI: https://doi.org/10.1007/JHEP09(2023)154