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Bimodules associated to vertex operator algebras

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Abstract

Let V be a vertex operator algebra and m, n ≥ 0. 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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Authors and Affiliations

  1. Department of Mathematics, University of California, Santa Cruz, CA, 95064, USA

    Chongying Dong

  2. Department of Mathematics, Shanghai Jiaotong University, Shanghai, 200030, People’s Republic of China

    Cuipo Jiang

Authors
  1. Chongying Dong
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  2. Cuipo Jiang
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Correspondence to Chongying Dong.

Additional information

Chongying Dong was supported by NSF grants, China NSF grant 10328102 and a Faculty research grant from the University of California at Santa Cruz. Cuipo Jiang was supported in part by China NSF grant 10571119.

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Dong, C., Jiang, C. Bimodules associated to vertex operator algebras. Math. Z. 259, 799–826 (2008). https://doi.org/10.1007/s00209-007-0249-6

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  • DOI: https://doi.org/10.1007/s00209-007-0249-6

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