Speaker: Babak Haghighat
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.
Date and Time: 2:00 – 3:30 PM, Mar. 27, Thursday.
Location: Room 1510 at SIMIS, Block A, No. 657 Songhu Road, Yangpu District, Shanghai
Zoom Meeting ID: 838 293 7191 (Passcode: SIMIS)
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