Speaker
佐藤僚 (中央研究院数学研究所)
Date
October 5, 10:00-10:50
Title
Kazama-Suzuki coset vertex superalgebras at admissible levels
Abstract
The Kazama-Suzuki coset (= commutant) construction is a powerful tool to construct representations of the \(N=2\) superconformal algebra from affine Lie superalgebras at arbitrary non-critical level. In the affine side, it has been known that highest weight representations at ceratin rational levels (known as Kac-Wakimoto admissible levels) have modular invariance properties. In this talk we discuss some applications of the corresponding modular invariance properties in the superconformal side. This talk is based on the joint work with Shinji Koshida.