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

2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/69770By 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 $L(-{4/3}Λ_0)$.16 pages; Latex; minor changes; added referencesQuantum AlgebraMathematical PhysicsRepresentation Theory17B69; 17B67; 81R10A construction of admissible $A_1^{(1)}$-modules of level $-{4/3}$text