A generalized Kac-Moody algebra of rank 14

TL;DR

This paper constructs a new generalized Kac-Moody algebra of rank 14 using vertex algebra techniques, expanding the understanding of algebraic structures related to string theory and vertex operator algebras.

Contribution

It introduces a novel generalized Kac-Moody algebra of rank 14 derived from a lattice orbifold vertex algebra, detailing its root multiplicities and simple roots.

Findings

Constructed a vertex algebra of central charge 26 from a lattice orbifold vertex algebra.

Identified the root space multiplicities of the new algebra.

Determined a set of simple roots for the algebra.

Abstract

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 generalized Kac-Moody algebra of rank 14. We determine its root space multiplicities and a set of simple roots.