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

@article{Adamovi2004ACO, title={A construction of admissible \$A\_1^\{(1)\}\$-modules of level \$-\{4/3\}\$}, author={Dra{\vz}en Adamovi{\'c}}, journal={arXiv: Quantum Algebra}, year={2004} }

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 $L(-{4/3}\Lambda_0)$.

## 66 Citations

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