The Sachdev–Ye–Kitaev model and two-dimensional dilaton gravity have recently been attracting increasing attention of the high-energy and condensed-matter physics communities. The success of these models is due to their remarkable properties. Following the original papers, we broadly discuss the properties of these models, including the diagram technique in the limit of a large number of degrees of freedom, the emergence of conformal symmetry in the infrared limit, effective action, four-point functions, and chaos. We also briefly discuss some recent results in this field. On the one hand, we attempt to be maximally rigorous, which means considering all the details and gaps in the argument; on the other hand, we believe that this review can be suitable for those who are not familiar with the relevant models.

Sachdev-Ye-Kitaev 模型和二维膨胀子引力最近引起了高能和凝聚态物理界越来越多的关注。这些模型的成功归功于其卓越的特性。继原论文之后，我们广泛讨论了这些模型的性质，包括大量自由度极限下的图技术、红外极限中保形对称的出现、有效作用、四点函数和混沌. 我们还简要讨论了该领域的一些最新成果。一方面，我们试图做到最大限度的严谨，这意味着要考虑论证中的所有细节和差距；另一方面，我们认为本次审查可以适合那些不熟悉相关模型的人。