Some finite properties for vertex operator superalgebras
The concept of rationality is very important in the representation theory of vertex operator algebras and vertex operator superalgebras. In the present paper, the authors discussed many properties of rationality in the supercase using associative algebra method, these results can be regarded as `super' analogues of results presented in the `ordinary' case. These results include, in particular, that 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 \(V\).
scientific article; zbMATH DE number 6083920