Abstract
We show that the connected correlators of partition functions in double scaled SYK model can be decomposed into “trumpet” and the discrete analogue of the Weil-Petersson volume, which was defined by Norbury and Scott. We explicitly compute this discrete volume for the first few orders in the genus expansion and confirm that the discrete volume reduces to the Weil-Petersson volume in a certain semi-classical limit.
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Acknowledgments
The author would like to thank Bertrand Eynard for correspondence. This work was supported in part by JSPS Grant-in-Aid for Transformative Research Areas (A) “Extreme Universe” 21H05187 and JSPS KAKENHI Grant 22K03594.
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Okuyama, K. Discrete analogue of the Weil-Petersson volume in double scaled SYK. J. High Energ. Phys. 2023, 133 (2023). https://doi.org/10.1007/JHEP09(2023)133
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DOI: https://doi.org/10.1007/JHEP09(2023)133