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Large p SYK from chord diagrams. (arXiv:2303.03474v3 [hep-th] UPDATED)

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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 $1 \ll p \ll N$ and
"double-scaled" SYK $N,p \to \infty$ with $\lambda = 2 p^2/N$ 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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