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

Drazen Adamovic

paper

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

arXiv:math/0401023

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 $L (- 4/3 Λ_{0})$ .

16 pages; Latex; minor changes; added references

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

Abstract

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