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- W2017860443 abstract "We identify the hyperbolic Kac Moody algebras for which there exists a Lagrangian of gravity, dilatons and $p$-forms which produces a billiard that can be identified with their fundamental Weyl chamber. Because of the invariance of the billiard upon toroidal dimensional reduction, the list of admissible algebras is determined by the existence of a Lagrangian in three space-time dimensions, where a systematic analysis can be carried out since only zero-forms are involved. We provide all highest dimensional parent Lagrangians with their full spectrum of $p$-forms and dilaton couplings. We confirm, in particular, that for the rank 10 hyperbolic algebra, $CE_{10} = A_{15}^{(2)wedge}$, also known as the dual of $B_8^{wedgewedge}$, the maximally oxidized Lagrangian is 9 dimensional and involves besides gravity, 2 dilatons, a 2-form, a 1-form and a 0-form." @default.
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- W2017860443 date "2004-11-04" @default.
- W2017860443 modified "2023-09-23" @default.
- W2017860443 title "Hyperbolic Kac Moody algebras and Einstein billiards" @default.
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- W2017860443 doi "https://doi.org/10.1063/1.1806537" @default.
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