13 citations · 16 across the 6 of their papers we have counts for
6 papers
Semisimplicity of module categories of certain affine vertex operator superalgebras
Dražen Adamović, 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…
Module category and -cofiniteness of affine vertex operator superalgebras
Chunrui Ai, Xingjun Lin
In this paper, we investigate the Lie algebra structures of weight one subspaces of -cofinite vertex operator superalgebras. We also show that for any positive integer , ve…
Some exceptional extensions of Virasoro vertex operator algebras
Chunrui Ai, Chongying Dong, Xingjun Lin
In this paper, extensions of nonunitary rational Virasoro vertex operator algebras corresponding to some exceptional modular invariants are constructed. The uniqueness of these ext…
The classification of extensions of
Chunrui Ai, Xingjun Lin
IIn this paper, extensions of affine vertex operator algebras , , are classified by modular invariants.
On the unitary structures of vertex operator superalgebras
Chunrui Ai, Xingjun Lin
In this paper, the notion of unitary vertex operator superalgebra is introduced. It is proved that the vertex operator superalgebras associated to the unitary highest weight repres…
The irreducible modules and fusion rules for the parafermion vertex operator algebras
Chunrui Ai, Chongying Dong, Xiangyu Jiao +1
The irreducible modules for the parafermion vertex operator algebra associated to any finite dimensional Lie algebra and any positive integer are identified, the quantum dimensions…