Resurgent Structure in Topological Strings
发布时间：2023年03月09日
浏览次数：1784
发布者: Wenqiong Li
主讲人： Jie Gu (Southeast University, Nanjing)
活动时间： 从 2023-03-21 14:00 到 15:00
场地： 北京国际数学研究中心，全斋全29教室
Topological string theory has (spacetime) instanton sectors, which the resurgence theory predicts to be completely controlled by the perturbative free energy via Stokes transformations. Recent results also suggest the Stokes constants are related to BPS/DT invariants. To make this picture concrete, one needs to first solve the instanton amplitudes and then calculate the Stokes constants. We demonstrate that the first problem can be solved exactly and completely through a transseries extension of the BCOV holomorphic anomaly equations. We also show that valuable information on BPS invariants can be obtained through the calculation of Stokes constants. We will demonstrate our results with the example of the famous quintic manifold.
