论文标题
JT重力和超级重力的微层物理学
The Microstate Physics of JT Gravity and Supergravity
论文作者
论文摘要
有人提出，对二维量子重力的完全理解及其在随机矩阵模型中的出现需要完全包含{\ it ot and} wigner（statistics）和't Hooft（几何）。使用在任意拓扑的欧几里得表面上产生各种JT重力和JT超级重力模型的随机矩阵模型的非扰动定义，使用Fredholm决定因素来提取有关物理学基础的离散微晶体的精确信息。计算的核心结果是，在每种情况下，（超级）施瓦茨在领先顺序上看到的频谱只是一种从根本上离散的新频谱的近似值。进一步认为，矩阵模型指向{\ it单个}的区分副本的离散频谱副本，该频谱表征了洛伦兹（Super）重力理论的全息双重双重双重。这些事实表明，由于Schwarzian的离散频谱可以在单个理论中具有明智的量子机械起源，而无需吸引合奏。有人认为，更普遍的是，双刻度基质模型包含有关洛伦兹和欧几里得量子重力方法的信息。前者来自维格尼式的方法，而后者来自“ hooftian 1/n拓扑扩展”。
It is proposed that a complete understanding of two-dimensional quantum gravity and its emergence in random matrix models requires fully embracing {\it both} Wigner (statistics) and 't Hooft (geometry). Using non-perturbative definitions of random matrix models that yield various JT gravity and JT supergravity models on Euclidean surfaces of arbitrary topology, Fredholm determinants are used to extract precise information about the spectra of discrete microstates that underlie the physics. A core result of the computations is that in each case, the (super) Schwarzian spectrum seen at leading order is only an approximation to a new kind of spectrum that is fundamentally discrete. It is further argued that the matrix models point to a {\it single} distinguished copy of the discrete spectrum that characterizes the holographic dual of the Lorentzian (super) gravity theory. These facts suggest that the factorization puzzle is entirely resolved since the discrete spectrum underlying the Schwarzian can have a sensible quantum mechanical origin in a single theory, without an appeal to an ensemble. It is argued that more generally, double-scaled matrix models contain information about both the Lorentzian and Euclidean approaches to quantum gravity. The former comes from the Wignerian approach while the latter from the 't Hooftian 1/N topological expansion.
