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arxiv: q-alg/9602026 · v1 · submitted 1996-02-19 · q-alg · math.QA

Tensor product of Vertex operator algebras

Antun Milas This is my paper
classification q-alg math.QA
keywords theoryproducttensoralgebrasassociativealgebradiscussfusion
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Let $V_1 \otimes V_2$ be a tensor product of VOAs. Using Zhu theory we discuss the theory of representations of V (associative algebra, modules and fusion rules). We prove that this theory is more or less the same as representation theory of tensor product of the associative algebras.

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  1. Zhu algebras of superconformal vertex algebras

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    Determines the Zhu algebras of N=1,2,3,4 and big N=4 superconformal vertex algebras and introduces Zhu algebras for N_K=N supersymmetric vertex algebras via Huang's definition for arbitrary vertex algebras.