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Classification of irreducible modules of certain subalgebras of free boson vertex algebra

Drazen Adamovic
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Abstract

Let M(1) be the vertex algebra for a single free boson. We classify irreducible modules of certain vertex subalgebras of M(1) generated by two generators. These subalgebras correspond to the W(2, 2p-1)--algebras with central charge $1- 6 \frac{(p - 1) ^{2}}{p}$ where p is a positive integer, $p \ge 2$. We also determine the associated Zhu's algebras.

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Drazen Adamovic. 2002-07-18. Classification of irreducible modules of certain subalgebras of free boson vertex algebra. https://arxiv.org/abs/math/0207155

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