Some Rational Vertex Algebras

Details Some Rational Vertex Algebras Some Rational Vertex Algebras

1995-02-22

arxiv.org/abs/q-alg/9502015v2

Glasnik Matemati\v cki Vol.29(49) (1994), 25-40

Mathematics

Quantum Algebra

14 pages, AMSTEX

Scientific paper

Let $L((n-\tfrac 3 2)\Lambda_0)$, $n \in \Bbb N$, be a vertex operator algebra associated to the irreducible highest weight module $L((n-\tfrac 3 2)\Lambda_0)$ for a symplectic affine Lie algebra. We find a complete set of irreducible modules for $L((n-\tfrac 3 2)\Lambda_0)$ and show that every module for $L((n-\tfrac 3 2)\Lambda_0)$ from the category $\Cal O$ is completely reducible.

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