Mathematical Research Letters

Volume 2, Issue 5, September 1995 pp. 563-575.

Vertex operator algebras associated to modular invariant representations for $A_1 ^{(1)}$

Authors: Drazen Adamovic and Antun Milas
Author institution: University of Zagreb

Summary: We investigate vertex operator algebras $L(k,0)$ associated with modular-invariant representations for an affine Lie algebra $A_1 ^{(1)}$, where k is an`admissible' rational number. We show that VOA $L(k,0)$ is rational in the category $\cal O$ and find all irreducible representations in the category of weight modules.

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