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

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

2002-07-18

arxiv.org/abs/math/0207155v1

Mathematics

Quantum Algebra

21 pages, Latex

Scientific paper

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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