167 citations · 637 across the 50 of their papers we have counts for
12 papers · 1 filter
-matrix in permutation orbifolds
Chongying Dong, Feng Xu, Nina Yu
For a fixed positive integer , any element of the permutation group acts on the tensor product vertex operator algebra in the obvious way. In this pa…
S-matrix in orbifold theory
Chongying Dong, Li Ren, Feng Xu
The restricted -matrix of is determined for any regular vertex operator algebra and finite automorphism group of As an application, the -matrices for cycli…
The 3-permutation orbifold of a lattice vertex operator algebra
Chonging Dong, Feng Xu, Nina Yu
Irreducible modules of the 3-permutation orbifold of a rank one lattice vertex operator algebra are listed explicitly. Fusion rules are determined by using the quantum dimensions.…
2-permutations of lattice vertex operator algebras: Higher rank
Chongying Dong, Feng Xu, Nina Yu
The fusion rules of the 2-permutation orbifold of an arbitrary lattice vertex operator algebra are determined by using the theory of quantum dimension.
On Orbifold Theory
Chongying Dong, Li Ren, Feng Xu
Let V be a simple vertex operator algebra and G a finite automorphism group of V such that V^G is regular. It is proved that every irreducible V^G-module occurs in an irreducible g…
Cyclic permutations of lattice vertex operator algebras
Chongying Dong, Feng Xu, Nina Yu
The irreducible modules of the 2-cycle permutation orbifold models of lattice vertex operator algebras of rank 1 are classified, the quantum dimensions of irreducible modules and t…
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…
Mirror extensions of local nets
Feng Xu
In this paper we prove a general theorem on the extensions of local nets which was inspired by recent examples of exotic extensions for Virasoro nets with central charge less than…
Strong additivity and conformal nets
Feng Xu
We show that the fixed point subnet of a strongly additive conformal net under the action of a compact group is strongly additive. Using the idea of the proof we define the notion…
On the equivalence of certain coset conformal field theories
Feng Xu
We demonstrate the equivalence of Kazama-Suzuki cosets and based on complex Grassmannians by proving that the corresponding conformal precosheaves are isomorp…
On the signature of certain intersection forms
Feng Xu
We prove a conjecture of Zuber on the signature of intersection froms associated with affine algebras of type A.