A characterization of the vertex operator algebra $V_{L_2}^{A_4}$

Abstract

The rational vertex operator algebra $V_{L_2}^{A_4}$ is characterized in terms of weights of primary vectors. This reduces the classification of rational vertex operator algebras with $c=1$ to the characterizations of $V_{L_2}^{S_4}$ and $V_{L_2}^{A_5}.$

19 pages, published version