报告时间：2024年3月19日 下午15:30开始
报 告 人：李博涵（清华大学）
报告地点：包玉书9号楼504
报告题目：Vertex algebras and 4D/2D correspondence
报告摘要：We study the representations of the simple affine vertex algebras at non-admissible level arising from rank one 4D SCFTs. In particular, we classify the irreducible highest weight modules of $L_{-2}(G_2)$ and $L_{-2}(B_3)$. It is known by the works of Adamovi\'{c} and Per\v{s}e that these vertex algebras can be conformally embedded into $L_{-2}(D_4)$. We also compute the associated variety of $L_{-2}(G_2)$, and show that it is the orbifold of the associated variety of $L_{-2}(D_4)$ by the symmetric group of degree 3 which is the Dynkin diagram automorphism group of $D_4$. This provides a new interesting example of associated variety satisfying a number of conjectures in the context of orbifold vertex algebras.
报告人简介： 李博涵，清华大学丘成桐数学科学中心博士研究生，研究方向为四维超对称共形场论及顶点代数的表示理论。在J. High Energy Phys发表多篇文章。
