<p>We study the disk partition function of double-scaled SYK model (DSSYK) in the small <i>λ</i> limit, where <i>λ</i> = log <i>q</i> is the coupling of DSSYK. We find that the partition function receives non-perturbative corrections in <i>λ</i>, 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.</p>

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Non-perturbative corrections in the semi-classical limit of double-scaled SYK

  • Kazumi Okuyama

摘要

We study the disk partition function of double-scaled SYK model (DSSYK) in the small λ limit, where λ = log q is the coupling of DSSYK. We find that the partition function receives non-perturbative corrections in 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.