A class of Lorentzian Kac-Moody algebras
High Energy Physics - Theory
2008-11-26 v1
Abstract
We consider a natural generalisation of the class of hyperbolic Kac-Moody algebras. We describe in detail the conditions under which these algebras are Lorentzian. We also construct their fundamental weights, and analyse whether they possess a real principal so(1,2) subalgebra. Our class of algebras include the Lorentzian Kac-Moody algebras that have recently been proposed as symmetries of M-theory and the closed bosonic string.
Keywords
Cite
@article{arxiv.hep-th/0205068,
title = {A class of Lorentzian Kac-Moody algebras},
author = {Matthias R Gaberdiel and David I Olive and Peter C West},
journal= {arXiv preprint arXiv:hep-th/0205068},
year = {2008}
}
Comments
40 pages TeX, 5 eps-figures