We review recent developments in the study of the AdS/CFT correspondence in lower dimensions. We start by summarising the classification of AdS${}_3\times {\mathrm{S}}^2$ solutions in massive type IIA supergravity with (0, 4) supersymmetries and the construction of their 2D dual quiver CFTs. These theories are the seed for further developments that we review next. First, we construct a new class of AdS${}_3$ solutions in M-theory that describe M-strings in M5-brane intersections. Second, we generate a new class of AdS${}_2\times {\mathrm{S}}^3$ solutions in massive IIA with four supercharges that we interpret as describing backreacted baryon vertices within the 5D $\mathcal{N}=1$ QFT living in D4-D8 branes. Third, we construct two classes of AdS${}_2$ solutions in Type IIB. The first are dual to discrete light-cone quantised quantum mechanics living in null cylinders. The second class is interpreted as dual to backreacted baryon vertices within 4D $\mathcal{N}=2$ QFT living in D3-D7 branes. Explicit dual quiver field theories are given for all classes of solutions. These are used to compute the central charges of the CFTs that are shown to agree with the holographic expressions.

中文翻译：

---

AdS/CFT 在较低维度上的新进展

我们回顾了在较低维度上研究 AdS/CFT 对应关系的最新进展。我们先总结一下AdS的分类${}_3\times {\mathrm{秒}}^2$具有 (0, 4) 超对称性的大规模 IIA 超重力解决方案及其 2D 双箭袋 CFT 的构造。这些理论是我们接下来回顾的进一步发展的种子。首先，我们构造一个新的 AdS 类${}_3$M 理论中描述 M5 膜交点中的 M 串的解决方案。其次，我们生成一类新的 AdS${}_2\times {\mathrm{秒}}^3$ 具有四个增压的大规模 IIA 中的解，我们将其解释为描述 5D 内的反向反应重子顶点 $\mathcal{N}=1$QFT 居住在 D4-D8 膜中。第三，我们构造了两类 AdS${}_2$IIB 型解决方案。第一个是生活在零圆柱体中的双重到离散光锥量子化量子力学。第二类被解释为对 4D 内的反向反应重子顶点$\mathcal{N}=2$QFT 生活在 D3-D7 膜中。对于所有类别的解决方案，都给出了明确的双颤动场理论。这些用于计算与全息表达式一致的 CFT 的中心电荷。