报告人：Drazen Adamovic 教授
University of Zagreb
报告题目：Conformal embeddings and the representation theory of affine vertex algebras at negative integer levels
摘要：We study the problem of conformal embedding of affine vertex operator algebras into W-algebras.
We present a result on the classification of conformal embeddings of affine vertex algebras into minimal affine W-algebras and study some related problems. We will show that the corresponding branching rules are related to the representation theory of affine vertex algebras at negative levels and their fusion rules. New simple current modules and simple current extensions will be constructed. We will also discuss the results on a classification of irreducible modules of affine vertex algebras at negative integer levels in certain categories.
(This talk is based on joint papers with V. G. Kac, P. Moseneder Frajria, P.
Papi and O. Perse)