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A generalized Kac-Moody algebra of rank 14

arXiv:1009.5153

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.

LaTeX, 18 pages, 3 Tables. Published version. Revision contains some more details