13 citations · 21 across the 10 of their papers we have counts for
10 papers
Twisted modules of -graded modular vertex superalgebras
Xiangyu Jiao, Qiang Mu, Wei Wang
In this paper, we investigate the theory of -twisted modules for modular -graded vertex superalgebras over an algebraically closed field of p…
A unitary vertex operator algebra arising from the 3C-algebra
Xiangyu Jiao, Wen Zheng
We give an algebraic proof of the unitarity of the vertex operator algebra and of all its irreducible ordinary modules, using a coset realization ar…
Vertex operator algebras generated by two Ising vectors
Xiangyu Jiao, Wen Zheng
In this paper we mainly study the vertex operator algebra generated by two Ising vectors and with . We…
-Algebra and its representations
Chongying Dong, Xiangyu Jiao, Nina Yu
In this paper, we study the structure and representation of a -algebra which is a vertex operator algebra generated by two Ising vectors with inner product $\left\langle…
Modular Virasoro Vertex Algebras and Affine Vertex Algebras
Xiangyu Jiao, Haisheng Li, Qiang Mu
In this paper, we study Virasoro vertex algebras and affine vertex algebras over a general field of characteristic . More specifically, we study certain quotients of the unive…
Bimodule and twisted representation of vertex operator algebras
Qifen Jiang, Xiangyu Jiao
In this paper, for a vertex operator algebra with an automorphism of order an admissible -module and a fixed nonnegative rational number $n\in\frac{1}{T}\Bbb{Z}…
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…
Fusion rules for the vertex operator algebra
Chongying Dong, Cuipo Jiang, Qifen Jiang +2
The fusion rules for vertex operator algebra are determined.
Mirror Extensions of Vertex Operator Algebras
Chongying Dong, Xiangyu Jiao, Feng Xu
The mirror extensions for vertex operator algebras are studied. Two explicit examples which are not simple current extensions of some affine vertex operator algebras of type ar…
Quantum Dimensions and Quantum Galois Theory
Chongying Dong, Xiangyu Jiao, Feng Xu
The quantum dimensions of modules for vertex operator algebras are defined and their properties are discussed. The possible values of the quantum dimensions are obtained for ration…