In this thesis we develop an orbifold theory for a finite, cyclic group $ G $ acting on a suitably
regular, holomorphic vertex operator algebra $ V $. To this end we describe the fusion …

We develop an orbifold theory for finite, cyclic groups acting on holomorphic vertex operator
algebras. Then we show that Schellekens' classification of V 1-structures of meromorphic …

We present a systematic, rigorous construction of all 70 strongly rational, holomorphic vertex
operator algebras VV of central charge 24 with non‐zero weight‐one space V 1 V_1 as …

In this article, we develop a general technique for proving the uniqueness of holomorphic
vertex operator algebras based on the orbifold construction and its “reverse” process. As an …

This article is a continuation of our work on the classification of holomorphic framed vertex
operator algebras of central charge 24. We show that a holomorphic framed VOA of central …

We determine the automorphism groups of the cyclic orbifold vertex operator algebras
associated with coinvariant lattices for isometries of the Leech lattice in the conjugacy …

We consider unitary simple vertex operator algebras whose vertex operators satisfy certain
energy bounds and a strong form of locality and call them strongly local. We present a …

In this paper, we study orbifold constructions associated with the Leech lattice vertex
operator algebra. As an application, we prove that the structure of a strongly regular …

Representations of the vertex operator algebra VL2A4 Page 1 Journal of Algebra 377 (2013)
76–96 Contents lists available at SciVerse ScienceDirect Journal of Algebra www.elsevier.com/locate/jalgebra …

We construct a vertex algebra of central charge 26 from a lattice orbifold vertex operator
algebra of central charge 12. The BRST-cohomology group of this vertex algebra is a new …