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arxiv: 1112.1918 · v1 · pith:QAFSMTFFnew · submitted 2011-12-08 · 🧮 math.QA

Some finite properties for vertex operator superalgebras

classification 🧮 math.QA
keywords operatorvertexsuperalgebrasrationalweightdeterminedestablishedeven
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Vertex operator superalgebras are studied and various results on rational Vertex operator superalgebras are obtained. In particular, the vertex operator super subalgebras generated by the weight 1/2 and weight 1 subspaces are determined. It is also established that if the even part $V_{\bar 0}$ of a vertex operator superalgebra $V$ is rational, so is $V.$

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