13 citations · 54 across the 20 of their papers we have counts for
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Bimodules and g-rationality of vertex operator algebras
Chongying Dong, Cuipo Jiang
This paper studies the twisted representations of vertex operator algebras. Let V be a vertex operator algebra and g an automorphism of V of finite order T. For any m,n in (1/T)Z_+…
Rationality of vertex operator algebras
Chongying Dong, Cuipo Jiang
It is shown that a simple vertex operator algebra V is rational if and only if its Zhu algebra A(V) is semisimple and each irreducible admissible V-module is ordinary. A contravari…
Representations of vertex operator algebras
Chongying Dong, Cuipo Jiang
This paper is an exposition of the representation theory of vertex operator algebras in terms of associative algebras A_n(V) and their bimodules. A new result on the rationality is…
Bimodules associated to vertex operator algebras
Chongying Dong, Cuipo Jiang
Let V be a vertex operator algebra and m,n be nonnegative integers. We construct an A_n(V)-A_m(V)-bimodule A_{n,m}(V) which determines the action of V from the level m subspace to…
Modularity of trace functions in orbifold theory for Z-graded vertex operator superalgebras
Chongying Dong, Zhongping Zhao
We study the trace functions in orbiford theory for Z-graded vertex operator superalgebras and obtain a modular invariance result. More precisely, let V be a C_2-cofinite Z-graded…
Integrability of C_2-cofinite vertex operator algebras
Chongying Dong, Geoffrey Mason
The following integrability theorem for vertex operator algebras V satisfying some finiteness conditions(C_2-cofinite and CFT-type) is proved: the vertex operator subalgebra genera…