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A class of Lorentzian Kac-Moody algebras

Matthias R Gaberdiel·David I Olive·Peter C West
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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.

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Matthias R Gaberdiel, David I Olive, Peter C West. 2002-05-07. A class of Lorentzian Kac-Moody algebras. https://doi.org/10.1016/s0550-3213(02)00690-9

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