Natural constructions of some generalized Kac-Moody algebras as bosonic strings
Number Theory
2009-03-24 v1 Mathematical Physics
math.MP
Abstract
There are 10 generalized Kac-Moody algebras whose denominator identities are completely reflective automorphic products of singular weight on lattices of squarefree level. Under the assumption that the meromorphic vertex operator algebra of central charge 24 and spin-1 algebra exists we show that four of them can be constructed in a uniform way from bosonic strings moving on suitable target spaces.
Keywords
Cite
@article{arxiv.0801.1829,
title = {Natural constructions of some generalized Kac-Moody algebras as bosonic strings},
author = {Thomas Creutzig and Alexander Klauer and Nils R. Scheithauer},
journal= {arXiv preprint arXiv:0801.1829},
year = {2009}
}
Comments
22 pages; published in Comm. Number Theory Phys. 1 (2007), 453-477