Vertex operator algebras associated to modular invariant representations for $A_1^{(1)}$

Abstract

We investigate vertex operator algebras $L(k,0)$ associated with modular-invariant representations for an affine Lie algebra $A_1^{(1)}$ , where k is 'admissible' rational number. We show that VOA $L(k,0)$ is rational in the category $\mathcal{O}$ and find all irreducible representations in the category of weight modules.

14 pages, Latex, No Figures, to appear in Mathematical Research Letters, 1995

References in corpus (1)

• Some Rational Vertex Algebras

Cited by in corpus (1)

• Schur-Weyl Duality for Heisenberg Cosets