Bimodules associated to vertex operator algebras

Details Bimodules associated to vertex operator algebras Bimodules associated to vertex operator algebras

2006-01-25

arxiv.org/abs/math/0601626v2

Mathematics

Quantum Algebra

a minor change

Scientific paper

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 level n subspace of an admissible V-module. We show how to use A_{n,m}(V) to construct naturally admissible V-modules from A_m(V)-modules. We also determine the structure of A_{n,m}(V) when V is rational.

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