Title: Refinement of compact elliptic CY 3-folds via Wilson loops

Speaker: Xin Wang (王昕)

Affiliation: Korea Institute for Advanced Study (韩国高等研究院）

Time: 16:00-17:00, Thursday, 2nd April, 2024 (UTC+8, Beijing Time)

Venue: Room 1502, Yifu Architecture Building, Sipailou Campus of Southeast University, Nanjing

           （东南大学四牌楼校区逸夫建筑馆丘成桐中心1502室） (Offline)

Inviter: Jie Gu （顾杰）

Abstract  

We propose a method for calculating refined Gopakumar-Vafa numbers or refined BPS numbers on compact elliptic fibered Calabi-Yau 3-folds, based on new refined holomorphic anomaly equations, inspired by the refined holomorphic anomaly equations for 5d Wilson loop observables. The key examples are smooth elliptic fibrations over Fano surfaces. We argue that the refined BPS numbers on the elliptic fibration over a del Pezzo surface can be related to Wilson loop observables in the 5d N = 1 supersymmetric gauge theory that is geometrically engineered from the local del Pezzo surface. In this talk, I will explain the logic of these connections. This talk is based on the in-progress collaboration with Minxin Huang, Sheldon Katz, and Albrecht Klemm.

Speaker

 Dr Xin Wang is currently a research fellow at the Korea Institute for Advanced Study in Seoul.