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A construction of admissible $A_1^{(1)}$-modules of level $-{4/3}$

Drazen Adamovic
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Abstract

By using generalized vertex algebras associated to rational lattices, we construct explicitly the admissible modules for the affine Lie algebra $A_1 ^{(1)}$ of level $-{4/3}$. As an application, we show that the W(2,5) algebra with central charge c=-7 investigated in math.QA/0207155 is a subalgebra of the simple affine vertex operator algebra $L(-{4/3}Λ_0)$.

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BibTeXRIS

Drazen Adamovic. 2004-02-03. A construction of admissible $A_1^{(1)}$-modules of level $-{4/3}$. https://arxiv.org/abs/math/0401023

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