Vertex Operator Superalgebras and Their Representations * †

  title={Vertex Operator Superalgebras and Their Representations * †},
  author={Wei-Qiang Wang},
Vertex operator algebras (VOA) were introduced in physics by Belavin, Polyakov and Zamolodchikov [BPZ] and in mathematics by Borcherds [B]. For a detailed exposition of the theory of VOAs see [FLM] and [FHL]. In a remarkable development of the theory, Zhu [Z] constructed an associative algebra A(V ) corresponding to a VOA V and established a 1-1 correspondence between the irreducible representations of V and those of A(V ). Furthermore, Frenkel and Zhu [FZ] defined an A(V )-module A(M) for any… CONTINUE READING
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