Beijing Institute of Mathematical Sciences and Applications Beijing Institute of Mathematical Sciences and Applications

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About
President
Governance
Partner Institutions
Visit
People
Management
Faculty
Postdocs
Visiting Scholars
Staff
Research
Research Groups
Courses
Seminars
Join Us
Faculty
Postdocs
Students
Events
Conferences
Workshops
Forum
Life @ BIMSA
Accommodation
Transportation
Facilities
Tour
News
News
Announcement
Downloads
Qiuzhen College, Tsinghua University
Yau Mathematical Sciences Center, Tsinghua University (YMSC)
Tsinghua Sanya International  Mathematics Forum (TSIMF)
Shanghai Institute for Mathematics and  Interdisciplinary Sciences (SIMIS)
BIMSA > Quantum Fields and Strings Group Journal Club and Seminar Irregular KZ-equations from Liouville conformal blocks
Irregular KZ-equations from Liouville conformal blocks
Organizer
Kimyeong Lee
Speaker
Babak Haghighat
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.
Beijing Institute of Mathematical Sciences and Applications
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