Some Rational Vertex Algebras
Abstract
Let L((n- 3 2)0), n ∈ N, be a vertex operator algebra associated to the irreducible highest weight module L((n- 3 2)0) for a symplectic affine Lie algebra. We find a complete set of irreducible modules for L((n- 3 2)0) and show that every module for L((n- 3 2)0) from the category O is completely reducible.
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