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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…
Representations of the vertex operator algebra V_{L_{2}}^{A_{4}}
Chongying Dong, Cuipo Jiang
The rationality and C_2-cofiniteness of the orbifold vertex operator algebra V_{L_{2}}^{A_{4}} are established and all the irreducible modules are constructed and classified. This…
Integral forms in vertex operator algebras which are invariant under finite groups
Robert L. Griess, Chongying Dong
For certain vertex operator algebras (e.g., lattice type) and given finite group of automorphisms, we prove existence of a positive definite integral form invariant under the group…
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…
Congruence Property In Conformal Field Theory
Chongying Dong, Xingjun Lin, Siu-Hung Ng
The congruence subgroup property is established for the modular representations associated to any modular tensor category. This result is used to prove that the kernel of the repre…