3 papers
math.QA2026
Tensor category of -orbifold of Heisenberg vertex operator algebra and its applications
Drazen Adamovic, Xingjun Lin, Jinwei Yang
In this paper, we prove the category of finite length modules for the -orbifold of the Heisenberg vertex operator algebra whose simple composition factors ar…
math.QA2024
Semisimplicity of module categories of certain affine vertex operator superalgebras
Dražen AdamoviÄ, Chunrui Ai, Xingjun Lin +1
In this paper, we show Kazhdan-Lusztig categories, that is, the categories of lower bounded generalized weight modules for certain affine vertex operator superalgebras that are loc…
math.QA2024
Automorphism groups of parafermion vertex operator algebras: general case
Ching Hung Lam, Xingjun Lin, Hiroki Shimakura
We complete the program for determining the full automorphism groups of all parafermion vertex operator algebras associated with simple Lie algebras and positive integral levels. W…