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BIMSA Integrable Systems Seminar
Birkhoff Factorization, Givental’s Quantization, and BCOV’s Feynman Rule
Birkhoff Factorization, Givental’s Quantization, and BCOV’s Feynman Rule
Organizers
Speaker
Shuai Guo
Time
Tuesday, March 19, 2024 4:00 PM - 5:00 PM
Venue
A6-101
Online
Zoom 873 9209 0711
(BIMSA)
Abstract
BCOV’s Feynman rule is a conjectural algorithm used to compute the higher genus Gromov-Witten invariants of Calabi-Yau threefolds. The Feynman graph that appears in BCOV’s rule can be interpreted as a form of geometric quantization. In this presentation, I will attempt to extract it from the A-model perspective and realize it as Givental’s R-matrix quantization action. Finally, I will explain how mixed field theory applies to this quantization formalism of the Feynman rule. This talk is based on a series of joint works with H.-L. Chang, J. Li, W.-P. Li, and Y. Zhou.