A Unified Approach to Holomorphic Anomaly Equations and Quantum Spectral Curves
发布时间：2018年09月13日
浏览次数：6528
发布者: He Liu
主讲人： Zhiyuan Wang (Tsinghua University)
活动时间： 从 2018-10-18 14:00 到 16:00
场地： 北京国际数学研究中心，全斋全9教室
We present a unified approach to holomorphic anomaly equations and some well-known quantum spectral curves. We develop a formalism of abstract quantum field theory based on the diagrammatics of the Deligne-Mumford moduli spaces and derive a quadratic recursion relation for the abstract free energies in terms of the edge-cutting operators. This abstract quantum field theory can be realized by various choices of a sequence of holomorphic functions and suitable propagators, and the realized quantum field theory can be represented by formal Gaussian integrals. Various applications are given.
