Bimodules associated to vertex operator algebras
Abstract
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.
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