engleski

On fusion rules for the Weyl vertex algebra modules

We describe fusion rules in the category of weight modules for the Weyl vertex algebra. This way we confirm the conjecture on fusion rules based on the Verlinde formula. We explicitly construct the intertwining operators appearing in the formula for fusion rules. We present a result which relates irreducible weight modules for the Weyl vertex algebra to the irreducible modules for the affine Lie superalgebra $\widehat{; ; gl(1 \vert 1)}; ; $. This is joint work with Drazen Adamovic.

Vertex algebras, vertex operator algebras, fusion rules, intertwining operators, Lie superalgebra

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