论文标题
JT重力和超级重力的低能热力学
Low Energy Thermodynamics of JT Gravity and Supergravity
论文作者
论文摘要
探索了某些Jackiw-Teitelboim重力和超级重力理论的低能物理学方面，使用了最近在最小弦模型方面使用其最近提出的非扰动描述。这种制度必然涉及非扰动现象，以及在集合平均计算关键数量的计算中，连接几乎ADS $ _2 $边界的多个副本的虫洞几何形状。考虑了一个新的“复制尺度”极限，将复制方法和双缩放与低能限制结合在一起。使用它，探索了领先的自由能，熵和特定的热量，以获取各种示例。特定值得注意的两个模型是JT超级重力理论，该理论定义为斯坦福和维滕的（1,2）Altland-Zirnbauer矩阵集合，以及普通JT重力的Saad-Shenker-Stanford矩阵模型（在低能量下非扰动改进）。完整的模型在零能量下具有有限的非变化光谱密度。复制式的结构为他们暗示了低温熵和温度线性的特定热量。
Aspects of the low energy physics of certain Jackiw-Teitelboim gravity and supergravity theories are explored, using their recently presented non-perturbative description in terms of minimal string models. This regime necessarily involves non-perturbative phenomena, and the inclusion of wormhole geometries connecting multiple copies of the nearly AdS$_2$ boundary in the computation of ensemble averages of key quantities. A new "replica-scaling" limit is considered, combining the replica method and double scaling with the low energy limit. Using it, the leading free energy, entropy, and specific heat are explored for various examples. Two models of particular note are the JT supergravity theory defined as a (1,2) Altland-Zirnbauer matrix ensemble by Stanford and Witten, and the Saad-Shenker-Stanford matrix model of ordinary JT gravity (non-perturbatively improved at low energy). The full models have a finite non-vanishing spectral density at zero energy. The replica-scaling construction suggests for them a low temperature entropy and specific heat that are linear in temperature.
