论文标题
超对称光谱形式和欧几里得黑洞
Supersymmetric Spectral Form Factor and Euclidean Black Holes
论文作者
论文摘要
光谱形式（SFF）的后期行为编码量子系统的固有离散性，该离散性应该是通常的非呈现。我们研究了四维$ \ mathcal {n} = 4 $ Super Yang-Mills理论中的微型频谱谱尺寸的索引类似物。在大的$ n $限制中，在足够大的能量上，最主要的马鞍对应于广告中的黑洞。这引起了斜率，该斜率逐渐减小，对于较小的假想化学势，这是早期的天然类似物。我们发现，“延迟”行为受索引矩阵模型中出现的多切鞍座的控制，这些矩阵模型在早期是非扰动的亚优势。这些马鞍在后期变得占主导地位，从而阻止了SFF的腐烂。这些多切割的马鞍对应于广告大体中的轨道欧几里德黑洞，因此给出了“坡道”的几何解释。我们的分析是在标准ADS/CFT设置中进行的，而无需集合平均或虫洞。
The late-time behavior of spectral form factor (SFF) encodes the inherent discreteness of a quantum system, which should be generically non-vanishing. We study an index analog of the microcanonical spectrum form factor in four-dimensional $\mathcal{N}=4$ super Yang-Mills theory. In the large $N$ limit and at large enough energy, the most dominant saddle corresponds to the black hole in the AdS bulk. This gives rise to the slope that decreases exponentially for a small imaginary chemical potential, which is a natural analog of an early time. We find that the `late-time' behavior is governed by the multi-cut saddles that arise in the index matrix model, which are non-perturbatively sub-dominant at early times. These saddles become dominant at late times, preventing the SFF from decaying. These multi-cut saddles correspond to the orbifolded Euclidean black holes in the AdS bulk, therefore giving the geometrical interpretation of the `ramp.' Our analysis is done in the standard AdS/CFT setting without ensemble average or wormholes.
