Singularity Torsion and Anomaly Formula

Time: 2017-09-22 Published By: He Liu

Speaker(s): Xinxin Tang (Peking University)

Time: 14:00-16:00 September 28, 2017

Venue: Room 29, Quan Zhai, BICMR

First, I will give a quick review of the LG/CY correspondence and some main results in the CY B-model. BCOV find that the genus 1 partition function of CY 3-fold is related to the Ray-Singer torsion via the holomorphic anomaly equation. Accordingly, in the LG B-model, we start from the deformation f of the quasi-homogeneous polynomial $f_0$, define the corresponding singularity torsion associated to $\Delta_f$ and prove that this torsion gives us the genus 1 information of LG B-model.