论文标题
广告中的障碍$ _3 $/CFT $ _2 $
Disorder in AdS$_3$/CFT$_2$
论文作者
论文摘要
我们在ADS中研究了与疾病强度的第二阶相关的AD $ _3 $/CFT $ _2 $的稀疏淬火障碍。使用庞加莱补丁的ADS $ _3 $重力的Chern-Simons公式，我们通过化学势引入障碍。我们讨论了该疾病平均度量导致的体积和边界特性。该疾病会产生较小的质量和角动量。在批量和边界中，由于疾病的平均值，我们发现了非物理特征。在这些功能的启发下，我们提出了一种以庞加莱·林德斯特（Poincaré-Lindstedt）为灵感的重新召集方法。我们讨论了这种方法如何使我们能够删除所有非物理功能，并与其他平均方法进行比较。
We perturbatively study marginally relevant quenched disorder in AdS$_3$/CFT$_2$ to second order in the disorder strength. Using the Chern-Simons formulation of AdS$_3$ gravity for the Poincaré patch, we introduce disorder via the chemical potentials. We discuss the bulk and boundary properties resulting from the disorder averaged metric. The disorder generates a small mass and angular momentum. In the bulk and the boundary, we find unphysical features due to the disorder average. Motivated by these features, we propose a Poincaré-Lindstedt-inspired resummation method. We discuss how this method enables us to remove all of the unphysical features and compare with other approaches to averaging.
