AI 中文总结
该研究在双耦合SYK模型中，通过分析有限N下按算符尺寸划分的谱簇，揭示算符尺寸是连接有限N谱与大N涌现引力物理的桥梁，还解释了虫洞复兴动力学及虫洞-黑洞转变的微观机制。
AI 中文摘要
在大N极限下，两个耦合的Sachdev-Ye-Kitaev（SYK）模型实现了具有离散谱的永恒可穿越虫洞。我们证明，在有限N时，谱会按算符尺寸组织成以尺寸标记的簇；低尺寸簇演化为共形塔，定义了弱遍历破缺子空间，该子空间对应长寿命的虫洞复兴动力学。此外，尺寸能量与尺寸熵的竞争为虫洞-黑洞转变提供了微观解释。这些结果揭示，算符尺寸是有限N谱与大N下涌现引力物理之间的桥梁。
英文摘要
At large $N$, two coupled Sachdev-Ye-Kitaev models realize an eternal traversable wormhole with a discrete spectrum. We show that at finite $N$ the spectrum organizes into clusters labeled by operator size. Low-size clusters evolve into the conformal towers and define a weak-ergodicity-breaking subspace responsible for the long-lived wormhole revival dynamics. Moreover, the competition between size energy and size entropy provides a microscopic interpretation of the wormhole-black hole transition. These results reveal operator size as the bridge between the finite-$N$ spectrum and the emergent gravitational physics at large $N$.
Comments5+22 pages, 4+5 figures
