标题： Weil-Petersson体积的渐进行为和二维量子引力 显示英文标题

标题： Asymptotics of Weil-Petersson volumes and two-dimensional quantum gravities

摘要： 我们提出了一个改进的表达式，用于描述具有任意边界数量的超黎曼曲面模空间的魏尔-彼得森体积在大亏格渐近行为。 我们的公式利用了JT超引力与其矩阵模型定义之间的联系，使用了一些重整化理论的基本工具。 最终结果适用于任意边界长度，并保持了超体积的多项式结构。 作为副产品，我们也得到了广义$\Theta$类交数的大亏格渐近行为的预测。 我们将提议扩展到与Virasoro最小弦/Liouville重力相关的量子体积情况。 对量子体积进行经典极限，我们恢复了JT重力普通魏尔-彼得森构建块的公式。 显示英文摘要

摘要： We propose a refined expression for the large genus asymptotics of the Weil-Petersson volumes of the moduli space of super-Riemann surfaces with an arbitrary number of boundaries. Our formula leverages the connection between JT supergravity and its matrix model definition, utilizing some basic tools of resurgence theory. The final result holds for arbitrary boundary lengths and preserves the polynomial structure of the super-volumes. As a byproduct we also obtain a prediction for the large genus asymptotics of generalized $\Theta$-class intersection numbers. We extend our proposal to the case of the quantum volumes relevant for the Virasoro minimal string/Liouville gravity. Performing the classical limit on the quantum volumes, we recover a formula for the ordinary Weil-Petersson building blocks of JT gravity.