院数学与系统科学研究院

数学研究所

数学科学全国重点实验室

学术报告

表示论研讨班

Speaker: 李博涵博士(清华大学)

Inviter:聂思安

Language: Chinese

Title: On a series of simple affine VOAs arising from 4D SCFTs

Time & Venue: 20251219日(星期14:30 - 15:30 地点:南楼 N818

Abstract:Superconformal field theory (SCFT) with N=2 supersymmetry in four dimensional spacetime provides a prime playground to study strongly coupled phenomena in quantum field theory. Recently, Rastelli et.al has constructed a remarkable map from 4d N=2 SCFTs to 2d chiral algebras (VOAs) such that the vacuum character of the corresponding VOA reproduces the limit of the superconformal index, called the Schur index. In this talk, I will discuss the representations of some simple affine vertex algebras at non-admissible level arising from rank one 4d N=2 SCFTs. This talk is based on joint work with Tomoyuki Arakawa, Xuanzhong Dai, Justine Fasquel and Anne Moreau.

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