In 1993, Bershadsky, Cecotti, Ooguri and Vafa predicted a Feynman structure governing the topological string theory of a compact Calabi Yau threefold. In 2006 Yamaguchi and Yau made the BCOV prediction for quintic threefold more explicit, and deduce structural relations from it.
In 2018 both predictions were verified for quintic's Gromov Witten theory via the study of Mixed Spin P (MSP) fields. In this talk I will explain why MSP theory is natural and then report on recent progress in its further applications.
Huai-Liang CHANG, Professor,The Hong Kong University of Science and Technology
Research Interest: Algebraic geometry, String theory, etc.