标题： 全息覆盖与黑洞的偶然性 显示英文标题

标题： Holographic covering and the fortuity of black holes

摘要： 我们根据在大 $N$ 极限下的行为，提出将全息共形场论中的BPS态分为单调和偶然两类。 直觉上，单调BPS态形成具有递增秩的无限序列 $N$，而偶然BPS态存在于连续秩的有限范围内。 使用超电荷上同调给出了精确的定义。 我们猜想，在AdS/CFT对应下，单调BPS态对应于光滑无视界的几何结构，而偶然BPS态负责典型的黑洞微观状态，并对熵做出主要贡献。 我们在 ${\cal N}=4$ SYM 和对称乘积轨道中提供了对我们猜想的支持证据。 显示英文摘要

摘要： We propose a classification of BPS states in holographic CFTs into monotone and fortuitous, based on their behaviors in the large $N$ limit. Intuitively, monotone BPS states form infinite sequences with increasing rank $N$, while fortuitous ones exist within finite ranges of consecutive ranks. A precise definition is formulated using supercharge cohomology. We conjecture that under the AdS/CFT correspondence, monotone BPS states are dual to smooth horizonless geometries, and fortuitous ones are responsible for typical black hole microstates and give dominant contributions to the entropy. We present supporting evidence for our conjectures in the ${\cal N}=4$ SYM and symmetric product orbifolds.