At boundary admissible levels, the affine vertex operator superalgebra for a type I basic classical Lie superalgebra has exactly u irreducible ordinary modules, while for type II or ordinary Lie algebras it has only itself.
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Classification of the irreducible ordinary modules for affine vertex operator superalgebras
At boundary admissible levels, the affine vertex operator superalgebra for a type I basic classical Lie superalgebra has exactly u irreducible ordinary modules, while for type II or ordinary Lie algebras it has only itself.