论文标题
JT和Liouville（超级）重力的退化操作员
Degenerate operators in JT and Liouville (super)gravity
论文作者
论文摘要
我们得出了针对Jackiw-teitelboim（JT）重力双尾相关因子的特定子类的显式表达式，对应于脱位Virasoro表示。在磁盘上，这些退化的相关因子在结构上很简单，它们使我们能够阐明1/C schwarzian Bilocal扰动系列。特别是，我们证明该系列对通用权重$ h \ notin - \ mathbb {n}/2 $渐近。受其最小弦祖先的启发，我们提出了一个表达式，以较高的属校正对退化相关因子。我们讨论$ \ Mathcal {n} = 1 $ Super JT模型的扩展名。在磁盘上，我们类似地得出了1/c超级施法的扰动系列的属性，我们也独立发展。作为副产品，显示出JT超级重力使Chaos结合$λ_l=2π/β$在1/c中的第一阶饱和。我们在磁盘分区函数，批量的单点函数和边界两点函数上开发了liouville超级重力的固定长度振幅。特别是我们计算最小的超弦固定长度边界两点函数，这限制了超级JT归化相关器。最后，我们对更高拓扑发表了一些评论。
We derive explicit expressions for a specific subclass of Jackiw-Teitelboim (JT) gravity bilocal correlators, corresponding to degenerate Virasoro representations. On the disk, these degenerate correlators are structurally simple, and they allow us to shed light on the 1/C Schwarzian bilocal perturbation series. In particular, we prove that the series is asymptotic for generic weight $h\notin - \mathbb{N}/2$. Inspired by its minimal string ancestor, we propose an expression for higher genus corrections to the degenerate correlators. We discuss the extension to the $\mathcal{N}=1$ super JT model. On the disk, we similarly derive properties of the 1/C super-Schwarzian perturbation series, which we independently develop as well. As a byproduct, it is shown that JT supergravity saturates the chaos bound $λ_L = 2π/β$ at first order in 1/C. We develop the fixed-length amplitudes of Liouville supergravity at the level of the disk partition function, the bulk one-point function and the boundary two-point functions. In particular we compute the minimal superstring fixed length boundary two-point functions, which limit to the super JT degenerate correlators. We give some comments on higher topology at the end.
