北京雁栖湖应用数学研究院

李淇明

巴巴克·哈吉加特

2025年03月05日 15:00 至 16:30

A6-101

Zoom 462 110 5973 (BIMSA)

In this talk, I will present irregular representations of Kac-Moody algebras where we restrict ourselves to the $sl(2,\mathbb{C})$ case. I show how such irregular representations correspond to irregular Gaiotto-Teschner representations of the Virasoro algebra. The associated KZ equations for conformal blocks with one irregular operator at infinity and their integral representations are derived. By connecting to 2d Liouville theory, I will show how the conformal blocks governed by our irregular KZ equation correspond to 4d Argyres-Douglas theories with surface operator insertions. The corresponding flat connections describe braiding between such operators on the Gaiotto curve.

副教授，研究方向为弦理论、量子场论和拓扑场论。