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Some Rational Vertex Algebras

Drazen Adamovic
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Abstract

Let $L((n-\tfrac 3 2)Λ_0)$, $n \in \Bbb N$, be a vertex operator algebra associated to the irreducible highest weight module $L((n-\tfrac 3 2)Λ_0)$ for a symplectic affine Lie algebra. We find a complete set of irreducible modules for $L((n-\tfrac 3 2)Λ_0)$ and show that every module for $L((n-\tfrac 3 2)Λ_0)$ from the category $\Cal O$ is completely reducible.

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Drazen Adamovic. 1998-09-21. Some Rational Vertex Algebras. https://arxiv.org/abs/q-alg/9502015

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