Bimodules associated to vertex operator algebras

الأصل · EN

Let V be a vertex operator algebra and m,n be nonnegative integers. We construct an Aₙ(V)-Aₘ(V)-bimodule Aₙ,ₘ(V) which determines the action of V from the level m subspace to level n subspace of an admissible V-module. We show how to use Aₙ,ₘ(V) to construct naturally admissible V-modules from Aₘ(V)-modules. We also determine the structure of Aₙ,ₘ(V) when V is rational.