Quantcast

A natural construction of Borcherds' Fake Baby Monster Lie Algebra

Research paper by Gerald Hoehn, Nils R. Scheithauer

Indexed on: 04 Dec '03Published on: 04 Dec '03Published in: Mathematics - Quantum Algebra



Abstract

We use a Z_2-orbifold of the vertex operator algebra associated to the Niemeier lattice with root lattice A_3^8 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.