This paper is a continuation of (33) at which several coset subalgebras of the lattice VOA Vp 2E8 were constructed and the relationship between such algebras with the famous McKay observation on the… Expand

We prove the conjectual isomorphism between the level $k$ $\widehat{sl}_2$-parafermion vertex operator algebra and the $(k+1,k+2)$ minimal series $W_k$-algebra for all integers $k \ge 2$. As a… Expand

In this paper, we study the structure of a general framed vertex operator algebra (VOA). We show that the structure codes (C,D) of a framed VOA V satisfy certain duality conditions. As a consequence,… Expand

In this article, we construct explicitly several holomorphic vertex operator algebras of central charge 24 using Virasoro frames. The Lie algebras associated to their weight one subspaces are of the… Expand

We study McKay's observation on the Monster simple group, which relates the 2A-involutions of the Monster simple group to the extended E 8 diagram, using the theory of vertex operator algebras… Expand

Given a commutative associative algebra A with an associative form (’), we construct a vertex operator algebra V with the weight two space V2;≅ A If in addition the form (’) is nondegenerate, we show… Expand