标题： 2d杨-米尔斯理论在环面上的重生结构 显示英文标题

标题： Resurgent structure of 2d Yang-Mills theory on a torus

摘要： 我们研究了在环面上二维$U(N)$ Yang-Mills 的拓扑弦对偶的重生结构。 我们找到了任意高瞬子阶数下的瞬子振幅的显式公式，基于此我们提出了包含所有实瞬子贡献的非微扰划分函数，该函数在正模量和弦耦合下是实数。 我们还探讨了复瞬子并发现了两个无限塔的复瞬子。 我们期望它们对应于II型弦中的BPS态。 显示英文摘要

摘要： We study the resurgent structure of the topological string dual to 2d $U(N)$ Yang-Mills on torus. We find closed form formulas for instanton amplitudes up to arbitrarily high instanton orders, based on which we propose the non-perturbative partition function including contributions from all the real instantons, which is real for positive modulus and string coupling. We also explore complex instantons and find two infinite towers of them. We expect them to correspond to BPS states in type II string.