Replica symmetry breaking in random matrix model: A toy model of wormhole networks
Replica symmetry breaking in random matrix model: A toy model of wormhole networks
复制标题
随机矩阵模型中的副本对称性破缺：虫洞网络的玩具模型
DOI：
10.1016/j.physletb.2020.135280
复制
发表时间：
2020
影响因子：
4.4
通讯作者：
Kazumi Okuyama
中科院分区：
文献类型：
--
作者：
Kazumi Okuyama;Kazuhiro Sakai;Mayumi Aoki and Jisuke Kubo;Kazumi Okuyama
研究了高斯酉包络（GUE）随机矩阵模型中的副本对称破缺（RSB）。在大N极限下，RSB发生在转变温度T RSB <$N− 2/3。我们认为，这种转变起源于景观的几乎退化的本地最小值的自由能标记的杨图。我们还从ER= EPR猜想的角度讨论了我们的发现对多重耦合Sachdev-Ye-Kitaev模型及其全息对偶Jackiw-Teitelboim引力的可能意义。
We study the replica symmetry breaking (RSB) in the Gaussian Unitary Ensemble (GUE) random matrix model. In the large N limit the RSB occurs at the transition temperature T RSB∼ N− 2/3. We argue that this transition originates from a landscape of almost degenerate local minima of free energy labeled by Young diagrams. We also discuss a possible implication of our findings for the multiply-coupled Sachdev-Ye-Kitaev models and their holographic dual Jackiw-Teitelboim gravity from the viewpoint of ER= EPR conjecture.