论文标题
SYK模型中的大量费米子的大小
Size of bulk fermions in the SYK model
论文作者
论文摘要
全息二元性形式的量子重力研究发现并激发了对各种量子混乱诊断的详细研究。一种方法是操作员尺寸分布，其特征是操作员的支撑区域及其在海森堡进化下的进化。在这项工作中，我们研究了Sachdev-Ye-Kitaev（SYK）模型的操作员大小分布在全息二元性中的作用。使用ADS的明确构造$ _2 $ bulk Fermion操作员在低温SYK模型的推定双重双重构造中，我们研究了边界和大量费米子的操作员尺寸分布。我们的结果提供了边界和批量费米子的（有效）操作员大小与批量$ \ text {sl}（2; \ mathbb {r}）$生成器之间的关系的直接推导。
The study of quantum gravity in the form of the holographic duality has uncovered and motivated the detailed investigation of various diagnostics of quantum chaos. One such measure is the operator size distribution, which characterizes the size of the support region of an operator and its evolution under Heisenberg evolution. In this work, we examine the role of the operator size distribution in holographic duality for the Sachdev-Ye-Kitaev (SYK) model. Using an explicit construction of AdS$_2$ bulk fermion operators in a putative dual of the low temperature SYK model, we study the operator size distribution of the boundary and bulk fermions. Our result provides a direct derivation of the relationship between (effective) operator size of both the boundary and bulk fermions and bulk $\text{SL}(2; \mathbb{R})$ generators.
