A construction of admissible A₁⁽¹⁾-modules of level -4/3

الأصل · EN

By using generalized vertex algebras associated to rational lattices, we construct explicitly the admissible modules for the affine Lie algebra A₁ ⁽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(-4/3Λ₀).