Tensor Categories for Vertex Operator Superalgebra Extensions Dean Keith and yet we can take

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Tensor Categories for Vertex Operator Superalgebra Extensions Dean Keith and yet we can takeLet V be a vertex operator algebra with a category C of (generalized) modules that has vertex tensor category structure, and thus braided tensor category structure, and let A be a vertex operator (super)algebra extension of V . We employ tensor categories to study untwisted (also called local) A modules in C, using results of Huang Kirillov Lepowsky that show that A is a (super)algebra object in C and that generalized A modules in C correspond exactly