发表机构
Hanyang University（汉阳大学）
机构由 AI 辅助整理，请以论文原文为准。AI 中文总结
本文研究D1--D5 CFT中BPS态的偶然性、循环结构与探针响应，揭示循环划分不决定偶然性、大N下长弦占优及凝聚行为，并通过探针关联子区分微观结构。
AI 中文摘要
我们通过其偶然性、循环结构和探针响应来研究D1--D5 CFT中的BPS态。具有长弦和短弦几何的显式偶然态表明，循环划分并不能逐态地决定偶然性。在大$N$下，固定电荷计数仍然选择长弦。在开放的未凝聚区域，一个携带熵的精确非引力子子空间集中在缠绕数为$N-O(1)$的一个循环上。假设亚指数单调维度，谐波偶然补空间同样如此。在临界线之外，自由系综发展出短弦凝聚。为了测试这种循环结构如何在可观测量中显现，我们研究了有限缠绕探针。长循环标量关联子在固定时间趋近于极值BTZ响应，而有限缠绕在$t=O(\sqrt N)$时被分辨，精确圆在$t=O(N)$时重现，具有相同循环几何的态仍可通过其谱权重区分。
英文摘要
We study BPS states in the D1--D5 CFT through their fortuity, cycle structure, and probe response. Explicit fortuitous states with both long- and short-string geometries show that the cycle partition does not determine fortuity state by state. At large $N$, fixed-charge counting nevertheless selects a long string. In the open uncondensed region, an entropy-carrying exact non-graviton subspace concentrates on one cycle of winding $N-O(1)$. Assuming subexponential monotone dimension, the same holds for the harmonic fortuitous complement. Beyond the critical line, the free ensemble develops a short-string condensate. To test how this cycle structure appears in observables, we study finite-winding probes. The long-cycle scalar correlator approaches the extremal-BTZ response at fixed time, while finite winding is resolved at \(t=O(\sqrt N)\), the exact circle recurs at \(t=O(N)\), and states with the same cycle geometry remain distinguishable by their spectral weights.
