Non-perturbative corrections in the semi-classical limit of double-scaled SYK
Kazumi Okuyama (Department of Physics, Shinshu University, 3-1-1 Asahi, Matsumoto, 390-8621, Japan)
We study the disk partition function of double-scaled SYK model (DSSYK) in the small $\textit{λ}$ limit, where $\textit{λ}$ = log $\textit{q}$ is the coupling of DSSYK. We find that the partition function receives non-perturbative corrections in $\textit{λ}$, which can be resummed by the cubic power of the Dedekind eta function in a certain low temperature limit. We also discuss a possible bulk interpretation of our findings.