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Quantum Fields and Strings Group Journal Club and Seminar
Irregular KZ-equations from Liouville conformal blocks
Irregular KZ-equations from Liouville conformal blocks
Organizer
Speaker
Time
Wednesday, March 5, 2025 3:00 PM - 4:30 PM
Venue
A6-101
Online
Zoom 462 110 5973
(BIMSA)
Abstract
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.
Speaker Intro
Associate Professor, research interests are string theory, quantum field theory and topological field theory.