Some finite properties for vertex operator superalgebras

Mathematics – Quantum Algebra

Scientific paper

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18 pages

Scientific paper

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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