论文标题
在变形的JT重力中解决难题：相变和非扰动效应
Solving Puzzles in Deformed JT Gravity: Phase Transitions and Non-Perturbative Effects
论文作者
论文摘要
最近的工作表明，在jackiw-teitelboim重力中，标量电势的某些变形可以写为双尺度矩阵模型。但是，某些变形以圆盘顺序下的负光谱密度的形式表现出明显的单位性分解。我们在这里表明问题的根源是存在领先顺序矩阵模型字符串方程的多值解。对于一类变形，我们通过识别一阶相变解决了问题，对于其他人来说，我们表明该理论既扰动和非扰动不一致。使用已知的未扰动定义的未驱动性JT重力定义的方法，将变形的相结构的各个方面映射。某些特征是定性一致的，对这些变形理论中二维黑洞的相结构进行了半古典分析。
Recent work has shown that certain deformations of the scalar potential in Jackiw-Teitelboim gravity can be written as double-scaled matrix models. However, some of the deformations exhibit an apparent breakdown of unitarity in the form of a negative spectral density at disc order. We show here that the source of the problem is the presence of a multi-valued solution of the leading order matrix model string equation. While for a class of deformations we fix the problem by identifying a first order phase transition, for others we show that the theory is both perturbatively and non-perturbatively inconsistent. Aspects of the phase structure of the deformations are mapped out, using methods known to supply a non-perturbative definition of undeformed JT gravity. Some features are in qualitative agreement with a semi-classical analysis of the phase structure of two-dimensional black holes in these deformed theories.
