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arXiv · 0707.4129

Vertex operator algebras associated to certain admissible modules for affine Lie algebras of type A

Ozren Perse
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Abstract

Let $L(-{1/2}(l+1),0)$ be the simple vertex operator algebra associated to an affine Lie algebra of type $A_{l}^{(1)}$ with the lowest admissible half-integer level $-{1/2}(l+1)$, for even l. We study the category of weak modules for that vertex operator algebra which are in category $\cal{O}$ as modules for the associated affine Lie algebra. We classify irreducible objects in that category and prove semisimplicity of that category.

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BibTeXRIS

Ozren Perse. 2007-07-27. Vertex operator algebras associated to certain admissible modules for affine Lie algebras of type A. https://arxiv.org/abs/0707.4129

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