A Unified Approach to Holomorphic Anomaly Equations and Quantum Spectral Curves
Time: 2018-09-13
Published By: He Liu
Speaker(s): Zhiyuan Wang (Tsinghua University)
Time: 14:00-16:00 October 18, 2018
Venue: Room 9, Quan Zhai, BICMR
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.
