Birkhoff Factorization, Givental’s Quantization, and BCOV’s Feynman Rule
Shuai Guo (Peking University)
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
mathematical physicsdynamical systemsquantum algebrarepresentation theorysymplectic geometry
Audience: general audience
BIMSA Integrable Systems Seminar
Series comments: The aim is to bring together experts in integrable systems and related areas of theoretical and mathematical physics and mathematics. There will be research presentations and overview talks.
Audience: Graduate students and researchers interested in integrable systems and related mathematical structures, such as symplectic and Poisson geometry and representation theory.
The zoom link will be distributed by mail, so please join the mailing list if you are interested in attending the seminar.
| Organizers: | Niсolai Reshetikhin, Andrii Liashyk, Ivan Sechin, Andrey Tsiganov* |
| *contact for this listing |