论文标题
自由能的变形JT重力
On Free Energy for Deformed JT Gravity
论文作者
论文摘要
在本文中，我们研究了Maxfield，Turiaci最近考虑的Jackiw-Teitelboim重力的特殊变形，并独立于Witten。我们将计算该模型的分区函数以及其高阶相关因子与小型扰动的低温限制中属属的所有顺序。在此限制中，结果与从隐居随机矩阵集合的通风极限获得的结果相匹配。使用此结果，我们还将研究模型的自由能。有人观察到，尽管退火的自由能具有病理行为，但在某些假设下，通过复制式技巧评估的淬灭自由能在低温下展示了所需的特性。
In this paper, we study a particular deformation of the Jackiw-Teitelboim gravity recently considered by Maxfield, Turiaci and independently by Witten. We will compute the partition function of this model as well as its higher order correlators to all orders in genus expansion in the low temperature limit for small perturbations. In this limit, the results match with those obtained from the Airy limit of a Hermitian random matrix ensemble. Using this result, we will also study the free energy of the model. One observes that although the annealed free energy has pathological behaviors, under certain assumptions, the quenched free energy evaluated by replica trick exhibits the desired properties at low temperatures.
