Vertex Operator Algebras Associated to Type G Affine Lie Algebras

Jonathan D. Axtell, Kyu-Hwan Lee

In this paper, we study representations of the vertex operator algebra $L(k,0)$ at one-third admissible levels $k=-5/3,-4/3,-2/3$ for the affine algebra of type $G_2^{(1)}$. We…