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

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

2004-01-05

arxiv.org/abs/math/0401023v2

Mathematics

Quantum Algebra

16 pages; Latex; minor changes; added references

Scientific paper

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

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