A natural construction of Borcherds' Fake Baby Monster Lie Algebra

2003/12/04 by Gerald Hoehn, Nils R. Scheithauer
Mathematics · #math.QA

paper · pdf

published as American Journal of Mathematics 125 (2003), 655-667 · 13 pages, LaTeX

arxiv created 2003/12/04 · arxiv updated 2009/12/01

Abstract

We use a Z₂-orbifold of the vertex operator algebra associated to the Niemeier lattice with root lattice A₃⁸ and the no-ghost theorem of string theory to construct a generalized Kac-Moody algebra. Borcherds' theory of automorphic products allows us to determine the simple roots and identify the algebra with the fake baby monster Lie algebra.

Related

• Realizations of the Monster Lie algebra
• The fake monster algebra and singular Borcherds products
• 24 faces of the Borcherds modular form Phi₁₂
• Constructing a Lie group analog for the Monster Lie algebra
• Some Generalized Kac-Moody Algebras With Known Root Multiplicities