标题： 一个关于$(A)dS_2$的微观正规矩阵模型 显示英文标题

标题： A microscopic Normal Matrix Model for $(A)dS_2$

摘要： 我们描述了引力作用下的$c=1$（紧致）Sine-Gordon 模型与一个普通矩阵模型之间的对偶性。 从二维量子引力的角度来看，并由于势能的周期性，该模型允许存在反德西特（anti-de Sitter）和德西特（de-Sitter）鞍点，类似于更简单的 Sine-Dilaton 引力模型，以及更为复杂的插值“酒杯虫洞”几何结构。 从弦理论的角度看，欧几里得德西特（genus 零）鞍点与目标空间几何相关的经典熵贡献的存在有关。 引力作用下的 Sine-Gordon 模型通过构造对应于一个定义良好的共形场论（CFT），而其对偶的普通矩阵模型的本征值支持在一个复平面的紧致区域内。 即使对于有限但足够大的矩阵尺寸$N$（取决于具体的可观测量），与普通矩阵模型的对偶性也可以操作性地定义。 我们定义并研究了一种“微观”版本的大 N 极限，这使我们能够恢复所有物理可观测量的非微扰结果。 显示英文摘要

摘要： We describe the duality between the gravitating $c=1$ (compact) Sine-Gordon model and a normal matrix model. From a two-dimensional quantum gravity perspective and due to the periodic nature of the potential, this model admits both anti-de Sitter and de-Sitter saddles, similarly to simpler models of Sine-Dilaton gravity, as well as more complicated interpolating "wineglass wormhole" geometries. From a string theory perspective the Euclidean de-Sitter (genus zero) saddles are related to the presence of a classical entropic contribution associated to the target space geometry. The gravitating Sine-Gordon model corresponds to a well defined CFT by construction and the eigenvalues of the dual normal matrix model are supported in a compact region of the complex plane. The duality with the normal matrix model is operationally defined even for a finite, but sufficiently large matrix size $N$, depending on the precise observable to be determined. We define and study a "microscopic" version of the large-N limit that allows us to recover non-perturbative results for all physical observables.