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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…
Rationality and -cofiniteness of certain diagonal coset vertex operator algebras
Xingjun Lin
In this paper, it is shown that the diagonal coset vertex operator algebra is rational and -cof…
Trace functions and fusion rules of diagonal coset vertex operator algebras
Xingjun Lin
In this paper, irreducible modules of the diagonal coset vertex operator algebra are classified unde…
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…
Quantum dimensions and irreducible modules of some diagonal coset vertex operator algebras
Xingjun Lin
In this paper, under the assumption that the diagonal coset vertex operator algebra is rational and $C_…
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…