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 q_A, q_B 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.

中文翻译：

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双尺度SYK ETH矩阵模型可解极限

我们研究了双尺度 SYK 模型的双矩阵模型，称为 ETH 矩阵模型，由 Jafferis 等人提出。 [arXiv:2209.02131]。如果我们将该模型的参数q _A、q _B设置为零，则该双矩阵模型的势由高斯项和q换向器平方交互作用给出。我们发现该模型在大N极限下是可解的，并且我们根据椭圆函数显式地构造了求解方程的平面一点和两点函数。