A class of Lorentzian Kac-Moody algebras

Details A class of Lorentzian Kac-Moody algebras A class of Lorentzian Kac-Moody algebras

2002-05-07

arxiv.org/abs/hep-th/0205068v1

Nucl.Phys.B645:403-437,2002

Physics

High Energy Physics

High Energy Physics - Theory

40 pages TeX, 5 eps-figures

Scientific paper

10.1016/S0550-3213(02)00690-9

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.

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