Abstract
We study the two-matrix model for double-scaled SYK model, called ETH matrix model introduced by Jafferis et al. [arXiv:2209.02131]. If we set the parameters qA, qB of this model to zero, the potential of this two-matrix model is given by the Gaussian terms and the q-commutator squared interaction. We find that this model is solvable in the large N limit and we explicitly construct the planar one- and two-point function of resolvents in terms of elliptic functions.
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Acknowledgments
The work of KO 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., Suyama, T. Solvable limit of ETH matrix model for double-scaled SYK. J. High Energ. Phys. 2024, 94 (2024). https://doi.org/10.1007/JHEP04(2024)094
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DOI: https://doi.org/10.1007/JHEP04(2024)094