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 (p - 1) 2p where p is a positive integer, p 2. We also determine the associated Zhu's algebras.
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