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

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.

21 pages, Latex

Cited by in corpus (1)

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