Solvable limit of ETH matrix model for double-scaled SYK

被引：1

作者：

Okuyama, Kazumi ^{[1
]}

Suyama, Takao ^{[2
]}

机构：

[1] Shinshu Univ, Dept Phys, 3-1-1 Asahi, Matsumoto 3908621, Japan

[2] High Energy Accelerator Res Org KEK, Oho 1-1, Tsukuba, Ibaraki 3050801, Japan

来源：

JOURNAL OF HIGH ENERGY PHYSICS | 2024年 / 2024卷 / 04期

关键词：

Matrix Models; 1/N Expansion; AdS-CFT Correspondence; QUANTUM; LATTICE;

D O I：

10.1007/JHEP04(2024)094

中图分类号：

O412 [相对论、场论]; O572.2 [粒子物理学];

学科分类号：

摘要：

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.

引用

页数：27

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